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Finding the Fourth Proportional to 4,404.13, 6,077.84 and 2,414.67

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Solution

The fourth proportional to 4,404.13, 6,077.84 and 2,414.67 is: 3,332.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,404.13 : 6,077.84 = 2,414.67 : x
  2. Step 2: Convert to fraction form
    4,404.13/6,077.84 = 2,414.67/x
  3. Step 3: Cross multiply
    4,404.13x = 6,077.84 × 2,414.67
  4. Step 4: Simplify right side
    4,404.13x = 14,675,977.91
  5. Step 5: Solve for x
    x = 14,675,977.91/4,404.13
  6. Step 6: Final answer
    x = 3,332.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.