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Finding the Fourth Proportional to 3,864.34, 5,329.15 and 2,605.60

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Solution

The fourth proportional to 3,864.34, 5,329.15 and 2,605.60 is: 3,593.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.34 : 5,329.15 = 2,605.60 : x
  2. Step 2: Convert to fraction form
    3,864.34/5,329.15 = 2,605.60/x
  3. Step 3: Cross multiply
    3,864.34x = 5,329.15 × 2,605.60
  4. Step 4: Simplify right side
    3,864.34x = 13,885,633.24
  5. Step 5: Solve for x
    x = 13,885,633.24/3,864.34
  6. Step 6: Final answer
    x = 3,593.27

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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.