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Finding the Fourth Proportional to 5,254.37, 7,880.49 and 1,744.34

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Solution

The fourth proportional to 5,254.37, 7,880.49 and 1,744.34 is: 2,616.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,254.37 : 7,880.49 = 1,744.34 : x
  2. Step 2: Convert to fraction form
    5,254.37/7,880.49 = 1,744.34/x
  3. Step 3: Cross multiply
    5,254.37x = 7,880.49 × 1,744.34
  4. Step 4: Simplify right side
    5,254.37x = 13,746,214.52
  5. Step 5: Solve for x
    x = 13,746,214.52/5,254.37
  6. Step 6: Final answer
    x = 2,616.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.