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Finding the Fourth Proportional to 5,232.61, 7,844.05 and 2,309.32

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Solution

The fourth proportional to 5,232.61, 7,844.05 and 2,309.32 is: 3,461.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232.61 : 7,844.05 = 2,309.32 : x
  2. Step 2: Convert to fraction form
    5,232.61/7,844.05 = 2,309.32/x
  3. Step 3: Cross multiply
    5,232.61x = 7,844.05 × 2,309.32
  4. Step 4: Simplify right side
    5,232.61x = 18,114,421.55
  5. Step 5: Solve for x
    x = 18,114,421.55/5,232.61
  6. Step 6: Final answer
    x = 3,461.83

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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.