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Finding the Fourth Proportional to 5,252, 7,877.18 and 1,743.52

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Solution

The fourth proportional to 5,252, 7,877.18 and 1,743.52 is: 2,615.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252 : 7,877.18 = 1,743.52 : x
  2. Step 2: Convert to fraction form
    5,252/7,877.18 = 1,743.52/x
  3. Step 3: Cross multiply
    5,252x = 7,877.18 × 1,743.52
  4. Step 4: Simplify right side
    5,252x = 13,734,020.87
  5. Step 5: Solve for x
    x = 13,734,020.87/5,252
  6. Step 6: Final answer
    x = 2,615.01

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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.