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Finding the Fourth Proportional to 3,830.70, 5,284.98 and 2,505.17

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Solution

The fourth proportional to 3,830.70, 5,284.98 and 2,505.17 is: 3,456.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.70 : 5,284.98 = 2,505.17 : x
  2. Step 2: Convert to fraction form
    3,830.70/5,284.98 = 2,505.17/x
  3. Step 3: Cross multiply
    3,830.70x = 5,284.98 × 2,505.17
  4. Step 4: Simplify right side
    3,830.70x = 13,239,773.35
  5. Step 5: Solve for x
    x = 13,239,773.35/3,830.70
  6. Step 6: Final answer
    x = 3,456.23

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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.