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Finding the Fourth Proportional to 5,120.19, 7,678.02 and 2,348.61

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Solution

The fourth proportional to 5,120.19, 7,678.02 and 2,348.61 is: 3,521.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,120.19 : 7,678.02 = 2,348.61 : x
  2. Step 2: Convert to fraction form
    5,120.19/7,678.02 = 2,348.61/x
  3. Step 3: Cross multiply
    5,120.19x = 7,678.02 × 2,348.61
  4. Step 4: Simplify right side
    5,120.19x = 18,032,674.55
  5. Step 5: Solve for x
    x = 18,032,674.55/5,120.19
  6. Step 6: Final answer
    x = 3,521.88

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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.