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Finding the Fourth Proportional to 3,774.70, 5,207.32 and 2,357.47

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Solution

The fourth proportional to 3,774.70, 5,207.32 and 2,357.47 is: 3,252.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.70 : 5,207.32 = 2,357.47 : x
  2. Step 2: Convert to fraction form
    3,774.70/5,207.32 = 2,357.47/x
  3. Step 3: Cross multiply
    3,774.70x = 5,207.32 × 2,357.47
  4. Step 4: Simplify right side
    3,774.70x = 12,276,110.14
  5. Step 5: Solve for x
    x = 12,276,110.14/3,774.70
  6. Step 6: Final answer
    x = 3,252.21

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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.