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Finding the Fourth Proportional to 3,957, 5,934.60 and 1,492.08

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Solution

The fourth proportional to 3,957, 5,934.60 and 1,492.08 is: 2,237.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957 : 5,934.60 = 1,492.08 : x
  2. Step 2: Convert to fraction form
    3,957/5,934.60 = 1,492.08/x
  3. Step 3: Cross multiply
    3,957x = 5,934.60 × 1,492.08
  4. Step 4: Simplify right side
    3,957x = 8,854,897.97
  5. Step 5: Solve for x
    x = 8,854,897.97/3,957
  6. Step 6: Final answer
    x = 2,237.78

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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.