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Finding the Fourth Proportional to 3,852.34, 5,310.70 and 2,591.17

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Solution

The fourth proportional to 3,852.34, 5,310.70 and 2,591.17 is: 3,572.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.34 : 5,310.70 = 2,591.17 : x
  2. Step 2: Convert to fraction form
    3,852.34/5,310.70 = 2,591.17/x
  3. Step 3: Cross multiply
    3,852.34x = 5,310.70 × 2,591.17
  4. Step 4: Simplify right side
    3,852.34x = 13,760,926.52
  5. Step 5: Solve for x
    x = 13,760,926.52/3,852.34
  6. Step 6: Final answer
    x = 3,572.10

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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.