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Finding the Fourth Proportional to 5,569.62, 7,682.36 and 3,582.68

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Solution

The fourth proportional to 5,569.62, 7,682.36 and 3,582.68 is: 4,941.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,569.62 : 7,682.36 = 3,582.68 : x
  2. Step 2: Convert to fraction form
    5,569.62/7,682.36 = 3,582.68/x
  3. Step 3: Cross multiply
    5,569.62x = 7,682.36 × 3,582.68
  4. Step 4: Simplify right side
    5,569.62x = 27,523,437.52
  5. Step 5: Solve for x
    x = 27,523,437.52/5,569.62
  6. Step 6: Final answer
    x = 4,941.71

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