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Finding the Fourth Proportional to 4,404.36, 6,078 and 2,414.89

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Solution

The fourth proportional to 4,404.36, 6,078 and 2,414.89 is: 3,332.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,404.36 : 6,078 = 2,414.89 : x
  2. Step 2: Convert to fraction form
    4,404.36/6,078 = 2,414.89/x
  3. Step 3: Cross multiply
    4,404.36x = 6,078 × 2,414.89
  4. Step 4: Simplify right side
    4,404.36x = 14,677,701.42
  5. Step 5: Solve for x
    x = 14,677,701.42/4,404.36
  6. Step 6: Final answer
    x = 3,332.54

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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.