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Finding the Fourth Proportional to 5,470.74, 8,206.11 and 3,005.10

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Solution

The fourth proportional to 5,470.74, 8,206.11 and 3,005.10 is: 4,507.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.74 : 8,206.11 = 3,005.10 : x
  2. Step 2: Convert to fraction form
    5,470.74/8,206.11 = 3,005.10/x
  3. Step 3: Cross multiply
    5,470.74x = 8,206.11 × 3,005.10
  4. Step 4: Simplify right side
    5,470.74x = 24,660,181.16
  5. Step 5: Solve for x
    x = 24,660,181.16/5,470.74
  6. Step 6: Final answer
    x = 4,507.65

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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.