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Finding the Fourth Proportional to 3,678.59, 5,077.26 and 2,419.76

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Solution

The fourth proportional to 3,678.59, 5,077.26 and 2,419.76 is: 3,339.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.59 : 5,077.26 = 2,419.76 : x
  2. Step 2: Convert to fraction form
    3,678.59/5,077.26 = 2,419.76/x
  3. Step 3: Cross multiply
    3,678.59x = 5,077.26 × 2,419.76
  4. Step 4: Simplify right side
    3,678.59x = 12,285,763.35
  5. Step 5: Solve for x
    x = 12,285,763.35/3,678.59
  6. Step 6: Final answer
    x = 3,339.80

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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.