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Finding the Fourth Proportional to 4,074.71, 6,117.32 and 3,284.55

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Solution

The fourth proportional to 4,074.71, 6,117.32 and 3,284.55 is: 4,931.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,074.71 : 6,117.32 = 3,284.55 : x
  2. Step 2: Convert to fraction form
    4,074.71/6,117.32 = 3,284.55/x
  3. Step 3: Cross multiply
    4,074.71x = 6,117.32 × 3,284.55
  4. Step 4: Simplify right side
    4,074.71x = 20,092,651.62
  5. Step 5: Solve for x
    x = 20,092,651.62/4,074.71
  6. Step 6: Final answer
    x = 4,931.07

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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.