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Finding the Fourth Proportional to 5,582.52, 8,378.64 and 3,636.90

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Solution

The fourth proportional to 5,582.52, 8,378.64 and 3,636.90 is: 5,458.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.52 : 8,378.64 = 3,636.90 : x
  2. Step 2: Convert to fraction form
    5,582.52/8,378.64 = 3,636.90/x
  3. Step 3: Cross multiply
    5,582.52x = 8,378.64 × 3,636.90
  4. Step 4: Simplify right side
    5,582.52x = 30,472,275.82
  5. Step 5: Solve for x
    x = 30,472,275.82/5,582.52
  6. Step 6: Final answer
    x = 5,458.52

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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.