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Finding the Fourth Proportional to 4,002.96, 6,007.14 and 1,405.92

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Solution

The fourth proportional to 4,002.96, 6,007.14 and 1,405.92 is: 2,109.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002.96 : 6,007.14 = 1,405.92 : x
  2. Step 2: Convert to fraction form
    4,002.96/6,007.14 = 1,405.92/x
  3. Step 3: Cross multiply
    4,002.96x = 6,007.14 × 1,405.92
  4. Step 4: Simplify right side
    4,002.96x = 8,445,558.27
  5. Step 5: Solve for x
    x = 8,445,558.27/4,002.96
  6. Step 6: Final answer
    x = 2,109.83

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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.