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Finding the Fourth Proportional to 4,224.68, 6,338.10 and 1,758.68

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Solution

The fourth proportional to 4,224.68, 6,338.10 and 1,758.68 is: 2,638.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,224.68 : 6,338.10 = 1,758.68 : x
  2. Step 2: Convert to fraction form
    4,224.68/6,338.10 = 1,758.68/x
  3. Step 3: Cross multiply
    4,224.68x = 6,338.10 × 1,758.68
  4. Step 4: Simplify right side
    4,224.68x = 11,146,689.71
  5. Step 5: Solve for x
    x = 11,146,689.71/4,224.68
  6. Step 6: Final answer
    x = 2,638.47

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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.