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Finding the Fourth Proportional to 3,894.37, 5,841.59 and 972.68

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Solution

The fourth proportional to 3,894.37, 5,841.59 and 972.68 is: 1,459.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.37 : 5,841.59 = 972.68 : x
  2. Step 2: Convert to fraction form
    3,894.37/5,841.59 = 972.68/x
  3. Step 3: Cross multiply
    3,894.37x = 5,841.59 × 972.68
  4. Step 4: Simplify right side
    3,894.37x = 5,681,963.69
  5. Step 5: Solve for x
    x = 5,681,963.69/3,894.37
  6. Step 6: Final answer
    x = 1,459.02

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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.