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Finding the Fourth Proportional to 3,582.48, 5,367 and 2,117.28

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Solution

The fourth proportional to 3,582.48, 5,367 and 2,117.28 is: 3,171.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,582.48 : 5,367 = 2,117.28 : x
  2. Step 2: Convert to fraction form
    3,582.48/5,367 = 2,117.28/x
  3. Step 3: Cross multiply
    3,582.48x = 5,367 × 2,117.28
  4. Step 4: Simplify right side
    3,582.48x = 11,363,441.76
  5. Step 5: Solve for x
    x = 11,363,441.76/3,582.48
  6. Step 6: Final answer
    x = 3,171.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.