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Finding the Fourth Proportional to 5,864.16, 8,787.96 and 5,169.36

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Solution

The fourth proportional to 5,864.16, 8,787.96 and 5,169.36 is: 7,746.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,864.16 : 8,787.96 = 5,169.36 : x
  2. Step 2: Convert to fraction form
    5,864.16/8,787.96 = 5,169.36/x
  3. Step 3: Cross multiply
    5,864.16x = 8,787.96 × 5,169.36
  4. Step 4: Simplify right side
    5,864.16x = 45,428,128.91
  5. Step 5: Solve for x
    x = 45,428,128.91/5,864.16
  6. Step 6: Final answer
    x = 7,746.74

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Why These Related Problems?

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