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Finding the Fourth Proportional to 5,499.34, 7,582.71 and 3,822.19

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Solution

The fourth proportional to 5,499.34, 7,582.71 and 3,822.19 is: 5,270.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,499.34 : 7,582.71 = 3,822.19 : x
  2. Step 2: Convert to fraction form
    5,499.34/7,582.71 = 3,822.19/x
  3. Step 3: Cross multiply
    5,499.34x = 7,582.71 × 3,822.19
  4. Step 4: Simplify right side
    5,499.34x = 28,982,553.71
  5. Step 5: Solve for x
    x = 28,982,553.71/5,499.34
  6. Step 6: Final answer
    x = 5,270.18

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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.