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Finding the Fourth Proportional to 5,298.26, 7,948.13 and 1,600.07

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Solution

The fourth proportional to 5,298.26, 7,948.13 and 1,600.07 is: 2,400.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298.26 : 7,948.13 = 1,600.07 : x
  2. Step 2: Convert to fraction form
    5,298.26/7,948.13 = 1,600.07/x
  3. Step 3: Cross multiply
    5,298.26x = 7,948.13 × 1,600.07
  4. Step 4: Simplify right side
    5,298.26x = 12,717,516.63
  5. Step 5: Solve for x
    x = 12,717,516.63/5,298.26
  6. Step 6: Final answer
    x = 2,400.32

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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.