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Finding the Fourth Proportional to 4,002.88, 6,007.14 and 1,406.02

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Solution

The fourth proportional to 4,002.88, 6,007.14 and 1,406.02 is: 2,110.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002.88 : 6,007.14 = 1,406.02 : x
  2. Step 2: Convert to fraction form
    4,002.88/6,007.14 = 1,406.02/x
  3. Step 3: Cross multiply
    4,002.88x = 6,007.14 × 1,406.02
  4. Step 4: Simplify right side
    4,002.88x = 8,446,158.98
  5. Step 5: Solve for x
    x = 8,446,158.98/4,002.88
  6. Step 6: Final answer
    x = 2,110.02

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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.