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Finding the Fourth Proportional to 4,154.00, 5,732.17 and 2,385.23

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Solution

The fourth proportional to 4,154.00, 5,732.17 and 2,385.23 is: 3,291.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,154.00 : 5,732.17 = 2,385.23 : x
  2. Step 2: Convert to fraction form
    4,154.00/5,732.17 = 2,385.23/x
  3. Step 3: Cross multiply
    4,154.00x = 5,732.17 × 2,385.23
  4. Step 4: Simplify right side
    4,154.00x = 13,672,509.23
  5. Step 5: Solve for x
    x = 13,672,509.23/4,154.00
  6. Step 6: Final answer
    x = 3,291.41

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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.