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Finding the Fourth Proportional to 5,153.28, 7,727.20 and 2,553

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Solution

The fourth proportional to 5,153.28, 7,727.20 and 2,553 is: 3,828.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,153.28 : 7,727.20 = 2,553 : x
  2. Step 2: Convert to fraction form
    5,153.28/7,727.20 = 2,553/x
  3. Step 3: Cross multiply
    5,153.28x = 7,727.20 × 2,553
  4. Step 4: Simplify right side
    5,153.28x = 19,727,541.60
  5. Step 5: Solve for x
    x = 19,727,541.60/5,153.28
  6. Step 6: Final answer
    x = 3,828.15

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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.