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Finding the Fourth Proportional to 4,279.35, 5,902.74 and 2,509.71

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Solution

The fourth proportional to 4,279.35, 5,902.74 and 2,509.71 is: 3,461.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,279.35 : 5,902.74 = 2,509.71 : x
  2. Step 2: Convert to fraction form
    4,279.35/5,902.74 = 2,509.71/x
  3. Step 3: Cross multiply
    4,279.35x = 5,902.74 × 2,509.71
  4. Step 4: Simplify right side
    4,279.35x = 14,814,165.61
  5. Step 5: Solve for x
    x = 14,814,165.61/4,279.35
  6. Step 6: Final answer
    x = 3,461.78

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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.