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Finding the Fourth Proportional to 5,702.16, 8,555.88 and 2,416.02

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Solution

The fourth proportional to 5,702.16, 8,555.88 and 2,416.02 is: 3,625.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.16 : 8,555.88 = 2,416.02 : x
  2. Step 2: Convert to fraction form
    5,702.16/8,555.88 = 2,416.02/x
  3. Step 3: Cross multiply
    5,702.16x = 8,555.88 × 2,416.02
  4. Step 4: Simplify right side
    5,702.16x = 20,671,177.20
  5. Step 5: Solve for x
    x = 20,671,177.20/5,702.16
  6. Step 6: Final answer
    x = 3,625.15

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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.