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Finding the Fourth Proportional to 6,006.68, 8,289.12 and 3,354.40

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Solution

The fourth proportional to 6,006.68, 8,289.12 and 3,354.40 is: 4,629.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,006.68 : 8,289.12 = 3,354.40 : x
  2. Step 2: Convert to fraction form
    6,006.68/8,289.12 = 3,354.40/x
  3. Step 3: Cross multiply
    6,006.68x = 8,289.12 × 3,354.40
  4. Step 4: Simplify right side
    6,006.68x = 27,805,024.13
  5. Step 5: Solve for x
    x = 27,805,024.13/6,006.68
  6. Step 6: Final answer
    x = 4,629.02

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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.