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Finding the Fourth Proportional to 5,702.90, 8,548.18 and 2,418.29

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Solution

The fourth proportional to 5,702.90, 8,548.18 and 2,418.29 is: 3,624.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.90 : 8,548.18 = 2,418.29 : x
  2. Step 2: Convert to fraction form
    5,702.90/8,548.18 = 2,418.29/x
  3. Step 3: Cross multiply
    5,702.90x = 8,548.18 × 2,418.29
  4. Step 4: Simplify right side
    5,702.90x = 20,671,923.38
  5. Step 5: Solve for x
    x = 20,671,923.38/5,702.90
  6. Step 6: Final answer
    x = 3,624.81

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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.