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Finding the Fourth Proportional to 4,350.72, 6,524.16 and 1,428

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Solution

The fourth proportional to 4,350.72, 6,524.16 and 1,428 is: 2,141.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,350.72 : 6,524.16 = 1,428 : x
  2. Step 2: Convert to fraction form
    4,350.72/6,524.16 = 1,428/x
  3. Step 3: Cross multiply
    4,350.72x = 6,524.16 × 1,428
  4. Step 4: Simplify right side
    4,350.72x = 9,316,500.48
  5. Step 5: Solve for x
    x = 9,316,500.48/4,350.72
  6. Step 6: Final answer
    x = 2,141.37

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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.