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Finding the Fourth Proportional to 5,582.41, 7,693.57 and 5,422.48

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Solution

The fourth proportional to 5,582.41, 7,693.57 and 5,422.48 is: 7,473.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.41 : 7,693.57 = 5,422.48 : x
  2. Step 2: Convert to fraction form
    5,582.41/7,693.57 = 5,422.48/x
  3. Step 3: Cross multiply
    5,582.41x = 7,693.57 × 5,422.48
  4. Step 4: Simplify right side
    5,582.41x = 41,718,229.45
  5. Step 5: Solve for x
    x = 41,718,229.45/5,582.41
  6. Step 6: Final answer
    x = 7,473.16

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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.