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Finding the Fourth Proportional to 4,089.30, 6,129.90 and 2,007.60

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Solution

The fourth proportional to 4,089.30, 6,129.90 and 2,007.60 is: 3,009.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,089.30 : 6,129.90 = 2,007.60 : x
  2. Step 2: Convert to fraction form
    4,089.30/6,129.90 = 2,007.60/x
  3. Step 3: Cross multiply
    4,089.30x = 6,129.90 × 2,007.60
  4. Step 4: Simplify right side
    4,089.30x = 12,306,387.24
  5. Step 5: Solve for x
    x = 12,306,387.24/4,089.30
  6. Step 6: Final answer
    x = 3,009.41

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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.