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Finding the Fourth Proportional to 3,470.47, 5,205.56 and 1,005.23

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Solution

The fourth proportional to 3,470.47, 5,205.56 and 1,005.23 is: 1,507.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.47 : 5,205.56 = 1,005.23 : x
  2. Step 2: Convert to fraction form
    3,470.47/5,205.56 = 1,005.23/x
  3. Step 3: Cross multiply
    3,470.47x = 5,205.56 × 1,005.23
  4. Step 4: Simplify right side
    3,470.47x = 5,232,793.07
  5. Step 5: Solve for x
    x = 5,232,793.07/3,470.47
  6. Step 6: Final answer
    x = 1,507.81

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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.