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Finding the Fourth Proportional to 5,677.53, 8,461.29 and 5,382.29

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Solution

The fourth proportional to 5,677.53, 8,461.29 and 5,382.29 is: 8,021.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.53 : 8,461.29 = 5,382.29 : x
  2. Step 2: Convert to fraction form
    5,677.53/8,461.29 = 5,382.29/x
  3. Step 3: Cross multiply
    5,677.53x = 8,461.29 × 5,382.29
  4. Step 4: Simplify right side
    5,677.53x = 45,541,074.25
  5. Step 5: Solve for x
    x = 45,541,074.25/5,677.53
  6. Step 6: Final answer
    x = 8,021.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.