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Finding the Fourth Proportional to 5,470.65, 8,212.47 and 5,247.84

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Solution

The fourth proportional to 5,470.65, 8,212.47 and 5,247.84 is: 7,877.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.65 : 8,212.47 = 5,247.84 : x
  2. Step 2: Convert to fraction form
    5,470.65/8,212.47 = 5,247.84/x
  3. Step 3: Cross multiply
    5,470.65x = 8,212.47 × 5,247.84
  4. Step 4: Simplify right side
    5,470.65x = 43,097,728.56
  5. Step 5: Solve for x
    x = 43,097,728.56/5,470.65
  6. Step 6: Final answer
    x = 7,877.99

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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.