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Finding the Fourth Proportional to 4,052.48, 6,078.71 and 974.48

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Solution

The fourth proportional to 4,052.48, 6,078.71 and 974.48 is: 1,461.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,052.48 : 6,078.71 = 974.48 : x
  2. Step 2: Convert to fraction form
    4,052.48/6,078.71 = 974.48/x
  3. Step 3: Cross multiply
    4,052.48x = 6,078.71 × 974.48
  4. Step 4: Simplify right side
    4,052.48x = 5,923,581.32
  5. Step 5: Solve for x
    x = 5,923,581.32/4,052.48
  6. Step 6: Final answer
    x = 1,461.72

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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.