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Finding the Fourth Proportional to 5,734, 7,900.80 and 5,339.55

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Solution

The fourth proportional to 5,734, 7,900.80 and 5,339.55 is: 7,357.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734 : 7,900.80 = 5,339.55 : x
  2. Step 2: Convert to fraction form
    5,734/7,900.80 = 5,339.55/x
  3. Step 3: Cross multiply
    5,734x = 7,900.80 × 5,339.55
  4. Step 4: Simplify right side
    5,734x = 42,186,716.64
  5. Step 5: Solve for x
    x = 42,186,716.64/5,734
  6. Step 6: Final answer
    x = 7,357.29

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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.