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Finding the Fourth Proportional to 5,854.32, 8,078.99 and 3,615.71

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Solution

The fourth proportional to 5,854.32, 8,078.99 and 3,615.71 is: 4,989.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.32 : 8,078.99 = 3,615.71 : x
  2. Step 2: Convert to fraction form
    5,854.32/8,078.99 = 3,615.71/x
  3. Step 3: Cross multiply
    5,854.32x = 8,078.99 × 3,615.71
  4. Step 4: Simplify right side
    5,854.32x = 29,211,226.46
  5. Step 5: Solve for x
    x = 29,211,226.46/5,854.32
  6. Step 6: Final answer
    x = 4,989.69

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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.