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Finding the Fourth Proportional to 5,687.34, 8,525.16 and 4,123.44

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Solution

The fourth proportional to 5,687.34, 8,525.16 and 4,123.44 is: 6,180.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.34 : 8,525.16 = 4,123.44 : x
  2. Step 2: Convert to fraction form
    5,687.34/8,525.16 = 4,123.44/x
  3. Step 3: Cross multiply
    5,687.34x = 8,525.16 × 4,123.44
  4. Step 4: Simplify right side
    5,687.34x = 35,152,985.75
  5. Step 5: Solve for x
    x = 35,152,985.75/5,687.34
  6. Step 6: Final answer
    x = 6,180.92

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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.