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Finding the Fourth Proportional to 5,734.36, 7,916.70 and 4,387.49

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Solution

The fourth proportional to 5,734.36, 7,916.70 and 4,387.49 is: 6,057.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.36 : 7,916.70 = 4,387.49 : x
  2. Step 2: Convert to fraction form
    5,734.36/7,916.70 = 4,387.49/x
  3. Step 3: Cross multiply
    5,734.36x = 7,916.70 × 4,387.49
  4. Step 4: Simplify right side
    5,734.36x = 34,734,442.08
  5. Step 5: Solve for x
    x = 34,734,442.08/5,734.36
  6. Step 6: Final answer
    x = 6,057.25

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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.