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Finding the Fourth Proportional to 5,710.60, 7,865.96 and 4,029.04

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Solution

The fourth proportional to 5,710.60, 7,865.96 and 4,029.04 is: 5,549.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.60 : 7,865.96 = 4,029.04 : x
  2. Step 2: Convert to fraction form
    5,710.60/7,865.96 = 4,029.04/x
  3. Step 3: Cross multiply
    5,710.60x = 7,865.96 × 4,029.04
  4. Step 4: Simplify right side
    5,710.60x = 31,692,267.48
  5. Step 5: Solve for x
    x = 31,692,267.48/5,710.60
  6. Step 6: Final answer
    x = 5,549.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.