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Finding the Fourth Proportional to 3,854.32, 5,782.38 and 1,257.25

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Solution

The fourth proportional to 3,854.32, 5,782.38 and 1,257.25 is: 1,886.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.32 : 5,782.38 = 1,257.25 : x
  2. Step 2: Convert to fraction form
    3,854.32/5,782.38 = 1,257.25/x
  3. Step 3: Cross multiply
    3,854.32x = 5,782.38 × 1,257.25
  4. Step 4: Simplify right side
    3,854.32x = 7,269,897.26
  5. Step 5: Solve for x
    x = 7,269,897.26/3,854.32
  6. Step 6: Final answer
    x = 1,886.17

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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.