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Finding the Fourth Proportional to 5,862.16, 8,784.96 and 5,167.36

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Solution

The fourth proportional to 5,862.16, 8,784.96 and 5,167.36 is: 7,743.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,862.16 : 8,784.96 = 5,167.36 : x
  2. Step 2: Convert to fraction form
    5,862.16/8,784.96 = 5,167.36/x
  3. Step 3: Cross multiply
    5,862.16x = 8,784.96 × 5,167.36
  4. Step 4: Simplify right side
    5,862.16x = 45,395,050.91
  5. Step 5: Solve for x
    x = 45,395,050.91/5,862.16
  6. Step 6: Final answer
    x = 7,743.74

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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.