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Finding the Fourth Proportional to 3,615.28, 5,430.24 and 2,384.40

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Solution

The fourth proportional to 3,615.28, 5,430.24 and 2,384.40 is: 3,581.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,615.28 : 5,430.24 = 2,384.40 : x
  2. Step 2: Convert to fraction form
    3,615.28/5,430.24 = 2,384.40/x
  3. Step 3: Cross multiply
    3,615.28x = 5,430.24 × 2,384.40
  4. Step 4: Simplify right side
    3,615.28x = 12,947,864.26
  5. Step 5: Solve for x
    x = 12,947,864.26/3,615.28
  6. Step 6: Final answer
    x = 3,581.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.