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Finding the Fourth Proportional to 5,298.93, 7,946.49 and 1,600.20

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Solution

The fourth proportional to 5,298.93, 7,946.49 and 1,600.20 is: 2,399.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298.93 : 7,946.49 = 1,600.20 : x
  2. Step 2: Convert to fraction form
    5,298.93/7,946.49 = 1,600.20/x
  3. Step 3: Cross multiply
    5,298.93x = 7,946.49 × 1,600.20
  4. Step 4: Simplify right side
    5,298.93x = 12,715,973.30
  5. Step 5: Solve for x
    x = 12,715,973.30/5,298.93
  6. Step 6: Final answer
    x = 2,399.72

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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.