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Finding the Fourth Proportional to 5,298.57, 7,948.31 and 1,402.92

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Solution

The fourth proportional to 5,298.57, 7,948.31 and 1,402.92 is: 2,104.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298.57 : 7,948.31 = 1,402.92 : x
  2. Step 2: Convert to fraction form
    5,298.57/7,948.31 = 1,402.92/x
  3. Step 3: Cross multiply
    5,298.57x = 7,948.31 × 1,402.92
  4. Step 4: Simplify right side
    5,298.57x = 11,150,836.05
  5. Step 5: Solve for x
    x = 11,150,836.05/5,298.57
  6. Step 6: Final answer
    x = 2,104.50

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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.