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Finding the Fourth Proportional to 5,702.87, 8,548.50 and 3,624.41

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Solution

The fourth proportional to 5,702.87, 8,548.50 and 3,624.41 is: 5,432.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.87 : 8,548.50 = 3,624.41 : x
  2. Step 2: Convert to fraction form
    5,702.87/8,548.50 = 3,624.41/x
  3. Step 3: Cross multiply
    5,702.87x = 8,548.50 × 3,624.41
  4. Step 4: Simplify right side
    5,702.87x = 30,983,268.89
  5. Step 5: Solve for x
    x = 30,983,268.89/5,702.87
  6. Step 6: Final answer
    x = 5,432.93

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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.