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Finding the Fourth Proportional to 5,306.07, 7,959.17 and 1,843.35

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Solution

The fourth proportional to 5,306.07, 7,959.17 and 1,843.35 is: 2,765.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.07 : 7,959.17 = 1,843.35 : x
  2. Step 2: Convert to fraction form
    5,306.07/7,959.17 = 1,843.35/x
  3. Step 3: Cross multiply
    5,306.07x = 7,959.17 × 1,843.35
  4. Step 4: Simplify right side
    5,306.07x = 14,671,526.80
  5. Step 5: Solve for x
    x = 14,671,526.80/5,306.07
  6. Step 6: Final answer
    x = 2,765.05

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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.