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Finding the Fourth Proportional to 5,188.68, 7,745.13 and 4,500.18

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Solution

The fourth proportional to 5,188.68, 7,745.13 and 4,500.18 is: 6,717.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.68 : 7,745.13 = 4,500.18 : x
  2. Step 2: Convert to fraction form
    5,188.68/7,745.13 = 4,500.18/x
  3. Step 3: Cross multiply
    5,188.68x = 7,745.13 × 4,500.18
  4. Step 4: Simplify right side
    5,188.68x = 34,854,479.12
  5. Step 5: Solve for x
    x = 34,854,479.12/5,188.68
  6. Step 6: Final answer
    x = 6,717.41

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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.