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Finding the Fourth Proportional to 3,735.29, 5,154.72 and 2,142.00

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Solution

The fourth proportional to 3,735.29, 5,154.72 and 2,142.00 is: 2,955.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.29 : 5,154.72 = 2,142.00 : x
  2. Step 2: Convert to fraction form
    3,735.29/5,154.72 = 2,142.00/x
  3. Step 3: Cross multiply
    3,735.29x = 5,154.72 × 2,142.00
  4. Step 4: Simplify right side
    3,735.29x = 11,041,420.14
  5. Step 5: Solve for x
    x = 11,041,420.14/3,735.29
  6. Step 6: Final answer
    x = 2,955.97

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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.