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Finding the Fourth Proportional to 5,582.52, 7,703.88 and 3,098.52

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Solution

The fourth proportional to 5,582.52, 7,703.88 and 3,098.52 is: 4,275.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.52 : 7,703.88 = 3,098.52 : x
  2. Step 2: Convert to fraction form
    5,582.52/7,703.88 = 3,098.52/x
  3. Step 3: Cross multiply
    5,582.52x = 7,703.88 × 3,098.52
  4. Step 4: Simplify right side
    5,582.52x = 23,870,626.26
  5. Step 5: Solve for x
    x = 23,870,626.26/5,582.52
  6. Step 6: Final answer
    x = 4,275.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.