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Finding the Fourth Proportional to 5,646.84, 8,470.28 and 3,998.40

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Solution

The fourth proportional to 5,646.84, 8,470.28 and 3,998.40 is: 5,997.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.84 : 8,470.28 = 3,998.40 : x
  2. Step 2: Convert to fraction form
    5,646.84/8,470.28 = 3,998.40/x
  3. Step 3: Cross multiply
    5,646.84x = 8,470.28 × 3,998.40
  4. Step 4: Simplify right side
    5,646.84x = 33,867,567.55
  5. Step 5: Solve for x
    x = 33,867,567.55/5,646.84
  6. Step 6: Final answer
    x = 5,997.61

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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.