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Finding the Fourth Proportional to 5,225.74, 7,867.13 and 4,766.47

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Solution

The fourth proportional to 5,225.74, 7,867.13 and 4,766.47 is: 7,175.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,225.74 : 7,867.13 = 4,766.47 : x
  2. Step 2: Convert to fraction form
    5,225.74/7,867.13 = 4,766.47/x
  3. Step 3: Cross multiply
    5,225.74x = 7,867.13 × 4,766.47
  4. Step 4: Simplify right side
    5,225.74x = 37,498,427.21
  5. Step 5: Solve for x
    x = 37,498,427.21/5,225.74
  6. Step 6: Final answer
    x = 7,175.72

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.