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Finding the Fourth Proportional to 4,781.16, 7,171.74 and 1,702.44

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Solution

The fourth proportional to 4,781.16, 7,171.74 and 1,702.44 is: 2,553.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,781.16 : 7,171.74 = 1,702.44 : x
  2. Step 2: Convert to fraction form
    4,781.16/7,171.74 = 1,702.44/x
  3. Step 3: Cross multiply
    4,781.16x = 7,171.74 × 1,702.44
  4. Step 4: Simplify right side
    4,781.16x = 12,209,457.05
  5. Step 5: Solve for x
    x = 12,209,457.05/4,781.16
  6. Step 6: Final answer
    x = 2,553.66

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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.