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Finding the Fourth Proportional to 5,646,931.32, 8,471,978.10 and 2,283,500.28

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Solution

The fourth proportional to 5,646,931.32, 8,471,978.10 and 2,283,500.28 is: 3,425,889.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646,931.32 : 8,471,978.10 = 2,283,500.28 : x
  2. Step 2: Convert to fraction form
    5,646,931.32/8,471,978.10 = 2,283,500.28/x
  3. Step 3: Cross multiply
    5,646,931.32x = 8,471,978.10 × 2,283,500.28
  4. Step 4: Simplify right side
    5,646,931.32x = 19,345,764,363,503.87
  5. Step 5: Solve for x
    x = 19,345,764,363,503.87/5,646,931.32
  6. Step 6: Final answer
    x = 3,425,889.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.