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Finding the Fourth Proportional to 4,052.38, 6,078.57 and 974.38

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Solution

The fourth proportional to 4,052.38, 6,078.57 and 974.38 is: 1,461.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,052.38 : 6,078.57 = 974.38 : x
  2. Step 2: Convert to fraction form
    4,052.38/6,078.57 = 974.38/x
  3. Step 3: Cross multiply
    4,052.38x = 6,078.57 × 974.38
  4. Step 4: Simplify right side
    4,052.38x = 5,922,818.19
  5. Step 5: Solve for x
    x = 5,922,818.19/4,052.38
  6. Step 6: Final answer
    x = 1,461.57

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.