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Finding the Fourth Proportional to 5,042.16, 7,563.78 and 1,532.16

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Solution

The fourth proportional to 5,042.16, 7,563.78 and 1,532.16 is: 2,298.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,042.16 : 7,563.78 = 1,532.16 : x
  2. Step 2: Convert to fraction form
    5,042.16/7,563.78 = 1,532.16/x
  3. Step 3: Cross multiply
    5,042.16x = 7,563.78 × 1,532.16
  4. Step 4: Simplify right side
    5,042.16x = 11,588,921.16
  5. Step 5: Solve for x
    x = 11,588,921.16/5,042.16
  6. Step 6: Final answer
    x = 2,298.40

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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.