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Finding the Fourth Proportional to 5,677.57, 7,837.19 and 3,320.47

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Solution

The fourth proportional to 5,677.57, 7,837.19 and 3,320.47 is: 4,583.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.57 : 7,837.19 = 3,320.47 : x
  2. Step 2: Convert to fraction form
    5,677.57/7,837.19 = 3,320.47/x
  3. Step 3: Cross multiply
    5,677.57x = 7,837.19 × 3,320.47
  4. Step 4: Simplify right side
    5,677.57x = 26,023,154.28
  5. Step 5: Solve for x
    x = 26,023,154.28/5,677.57
  6. Step 6: Final answer
    x = 4,583.50

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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.