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Finding the Fourth Proportional to 6,001.85, 9,002.90 and 1,559.68

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Solution

The fourth proportional to 6,001.85, 9,002.90 and 1,559.68 is: 2,339.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,001.85 : 9,002.90 = 1,559.68 : x
  2. Step 2: Convert to fraction form
    6,001.85/9,002.90 = 1,559.68/x
  3. Step 3: Cross multiply
    6,001.85x = 9,002.90 × 1,559.68
  4. Step 4: Simplify right side
    6,001.85x = 14,041,641.01
  5. Step 5: Solve for x
    x = 14,041,641.01/6,001.85
  6. Step 6: Final answer
    x = 2,339.55

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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.