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Finding the Fourth Proportional to 5,710.72, 8,562.84 and 2,785.36

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Solution

The fourth proportional to 5,710.72, 8,562.84 and 2,785.36 is: 4,176.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.72 : 8,562.84 = 2,785.36 : x
  2. Step 2: Convert to fraction form
    5,710.72/8,562.84 = 2,785.36/x
  3. Step 3: Cross multiply
    5,710.72x = 8,562.84 × 2,785.36
  4. Step 4: Simplify right side
    5,710.72x = 23,850,592.02
  5. Step 5: Solve for x
    x = 23,850,592.02/5,710.72
  6. Step 6: Final answer
    x = 4,176.46

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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.