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Finding the Fourth Proportional to 4,924.38, 7,385.46 and 1,761.67

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Solution

The fourth proportional to 4,924.38, 7,385.46 and 1,761.67 is: 2,642.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,924.38 : 7,385.46 = 1,761.67 : x
  2. Step 2: Convert to fraction form
    4,924.38/7,385.46 = 1,761.67/x
  3. Step 3: Cross multiply
    4,924.38x = 7,385.46 × 1,761.67
  4. Step 4: Simplify right side
    4,924.38x = 13,010,743.32
  5. Step 5: Solve for x
    x = 13,010,743.32/4,924.38
  6. Step 6: Final answer
    x = 2,642.11

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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.