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Finding the Fourth Proportional to 4,115.34, 5,678.18 and 2,500.22

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Solution

The fourth proportional to 4,115.34, 5,678.18 and 2,500.22 is: 3,449.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,115.34 : 5,678.18 = 2,500.22 : x
  2. Step 2: Convert to fraction form
    4,115.34/5,678.18 = 2,500.22/x
  3. Step 3: Cross multiply
    4,115.34x = 5,678.18 × 2,500.22
  4. Step 4: Simplify right side
    4,115.34x = 14,196,698.74
  5. Step 5: Solve for x
    x = 14,196,698.74/4,115.34
  6. Step 6: Final answer
    x = 3,449.70

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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.