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Finding the Fourth Proportional to 3,461.32, 4,776.63 and 1,889.41

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Solution

The fourth proportional to 3,461.32, 4,776.63 and 1,889.41 is: 2,607.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.32 : 4,776.63 = 1,889.41 : x
  2. Step 2: Convert to fraction form
    3,461.32/4,776.63 = 1,889.41/x
  3. Step 3: Cross multiply
    3,461.32x = 4,776.63 × 1,889.41
  4. Step 4: Simplify right side
    3,461.32x = 9,025,003.04
  5. Step 5: Solve for x
    x = 9,025,003.04/3,461.32
  6. Step 6: Final answer
    x = 2,607.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.