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Finding the Fourth Proportional to 5,725, 8,586.28 and 4,635.55

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Solution

The fourth proportional to 5,725, 8,586.28 and 4,635.55 is: 6,952.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,725 : 8,586.28 = 4,635.55 : x
  2. Step 2: Convert to fraction form
    5,725/8,586.28 = 4,635.55/x
  3. Step 3: Cross multiply
    5,725x = 8,586.28 × 4,635.55
  4. Step 4: Simplify right side
    5,725x = 39,802,130.25
  5. Step 5: Solve for x
    x = 39,802,130.25/5,725
  6. Step 6: Final answer
    x = 6,952.34

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