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Finding the Fourth Proportional to 3,925.57, 5,886.14 and 1,292.37

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Solution

The fourth proportional to 3,925.57, 5,886.14 and 1,292.37 is: 1,937.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,925.57 : 5,886.14 = 1,292.37 : x
  2. Step 2: Convert to fraction form
    3,925.57/5,886.14 = 1,292.37/x
  3. Step 3: Cross multiply
    3,925.57x = 5,886.14 × 1,292.37
  4. Step 4: Simplify right side
    3,925.57x = 7,607,070.75
  5. Step 5: Solve for x
    x = 7,607,070.75/3,925.57
  6. Step 6: Final answer
    x = 1,937.83

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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.