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Finding the Fourth Proportional to 3,732.34, 5,152.22 and 2,656.31

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Solution

The fourth proportional to 3,732.34, 5,152.22 and 2,656.31 is: 3,666.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,732.34 : 5,152.22 = 2,656.31 : x
  2. Step 2: Convert to fraction form
    3,732.34/5,152.22 = 2,656.31/x
  3. Step 3: Cross multiply
    3,732.34x = 5,152.22 × 2,656.31
  4. Step 4: Simplify right side
    3,732.34x = 13,685,887.76
  5. Step 5: Solve for x
    x = 13,685,887.76/3,732.34
  6. Step 6: Final answer
    x = 3,666.84

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