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Finding the Fourth Proportional to 5,298.13, 7,948.48 and 1,600.14

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Solution

The fourth proportional to 5,298.13, 7,948.48 and 1,600.14 is: 2,400.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298.13 : 7,948.48 = 1,600.14 : x
  2. Step 2: Convert to fraction form
    5,298.13/7,948.48 = 1,600.14/x
  3. Step 3: Cross multiply
    5,298.13x = 7,948.48 × 1,600.14
  4. Step 4: Simplify right side
    5,298.13x = 12,718,680.79
  5. Step 5: Solve for x
    x = 12,718,680.79/5,298.13
  6. Step 6: Final answer
    x = 2,400.60

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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.