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Finding the Fourth Proportional to 3,404.88, 5,103 and 2,580.57

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Solution

The fourth proportional to 3,404.88, 5,103 and 2,580.57 is: 3,867.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.88 : 5,103 = 2,580.57 : x
  2. Step 2: Convert to fraction form
    3,404.88/5,103 = 2,580.57/x
  3. Step 3: Cross multiply
    3,404.88x = 5,103 × 2,580.57
  4. Step 4: Simplify right side
    3,404.88x = 13,168,648.71
  5. Step 5: Solve for x
    x = 13,168,648.71/3,404.88
  6. Step 6: Final answer
    x = 3,867.58

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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.