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Finding the Fourth Proportional to 5,586.57, 7,710.39 and 4,257.77

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Solution

The fourth proportional to 5,586.57, 7,710.39 and 4,257.77 is: 5,876.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,586.57 : 7,710.39 = 4,257.77 : x
  2. Step 2: Convert to fraction form
    5,586.57/7,710.39 = 4,257.77/x
  3. Step 3: Cross multiply
    5,586.57x = 7,710.39 × 4,257.77
  4. Step 4: Simplify right side
    5,586.57x = 32,829,028.68
  5. Step 5: Solve for x
    x = 32,829,028.68/5,586.57
  6. Step 6: Final answer
    x = 5,876.42

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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.