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Finding the Fourth Proportional to 3,677.70, 5,068.26 and 2,840.97

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Solution

The fourth proportional to 3,677.70, 5,068.26 and 2,840.97 is: 3,915.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.70 : 5,068.26 = 2,840.97 : x
  2. Step 2: Convert to fraction form
    3,677.70/5,068.26 = 2,840.97/x
  3. Step 3: Cross multiply
    3,677.70x = 5,068.26 × 2,840.97
  4. Step 4: Simplify right side
    3,677.70x = 14,398,774.61
  5. Step 5: Solve for x
    x = 14,398,774.61/3,677.70
  6. Step 6: Final answer
    x = 3,915.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.