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Finding the Fourth Proportional to 4,689.24, 7,034.64 and 1,767.76

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Solution

The fourth proportional to 4,689.24, 7,034.64 and 1,767.76 is: 2,651.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.24 : 7,034.64 = 1,767.76 : x
  2. Step 2: Convert to fraction form
    4,689.24/7,034.64 = 1,767.76/x
  3. Step 3: Cross multiply
    4,689.24x = 7,034.64 × 1,767.76
  4. Step 4: Simplify right side
    4,689.24x = 12,435,555.21
  5. Step 5: Solve for x
    x = 12,435,555.21/4,689.24
  6. Step 6: Final answer
    x = 2,651.93

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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.