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Finding the Fourth Proportional to 4,458.42, 6,687.78 and 2,117.22

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Solution

The fourth proportional to 4,458.42, 6,687.78 and 2,117.22 is: 3,175.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,458.42 : 6,687.78 = 2,117.22 : x
  2. Step 2: Convert to fraction form
    4,458.42/6,687.78 = 2,117.22/x
  3. Step 3: Cross multiply
    4,458.42x = 6,687.78 × 2,117.22
  4. Step 4: Simplify right side
    4,458.42x = 14,159,501.57
  5. Step 5: Solve for x
    x = 14,159,501.57/4,458.42
  6. Step 6: Final answer
    x = 3,175.90

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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.