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Finding the Fourth Proportional to 4,002.16, 6,004.05 and 1,404.76

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Solution

The fourth proportional to 4,002.16, 6,004.05 and 1,404.76 is: 2,107.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002.16 : 6,004.05 = 1,404.76 : x
  2. Step 2: Convert to fraction form
    4,002.16/6,004.05 = 1,404.76/x
  3. Step 3: Cross multiply
    4,002.16x = 6,004.05 × 1,404.76
  4. Step 4: Simplify right side
    4,002.16x = 8,434,249.28
  5. Step 5: Solve for x
    x = 8,434,249.28/4,002.16
  6. Step 6: Final answer
    x = 2,107.42

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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.