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Finding the Fourth Proportional to 5,470.61, 8,209.09 and 2,307.84

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Solution

The fourth proportional to 5,470.61, 8,209.09 and 2,307.84 is: 3,463.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.61 : 8,209.09 = 2,307.84 : x
  2. Step 2: Convert to fraction form
    5,470.61/8,209.09 = 2,307.84/x
  3. Step 3: Cross multiply
    5,470.61x = 8,209.09 × 2,307.84
  4. Step 4: Simplify right side
    5,470.61x = 18,945,278.05
  5. Step 5: Solve for x
    x = 18,945,278.05/5,470.61
  6. Step 6: Final answer
    x = 3,463.10

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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.