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Finding the Fourth Proportional to 6,468.75, 8,926.59 and 3,815.59

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Solution

The fourth proportional to 6,468.75, 8,926.59 and 3,815.59 is: 5,265.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.75 : 8,926.59 = 3,815.59 : x
  2. Step 2: Convert to fraction form
    6,468.75/8,926.59 = 3,815.59/x
  3. Step 3: Cross multiply
    6,468.75x = 8,926.59 × 3,815.59
  4. Step 4: Simplify right side
    6,468.75x = 34,060,207.54
  5. Step 5: Solve for x
    x = 34,060,207.54/6,468.75
  6. Step 6: Final answer
    x = 5,265.35

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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.