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Finding the Fourth Proportional to 3,488.47, 5,193.16 and 3,470.00

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Solution

The fourth proportional to 3,488.47, 5,193.16 and 3,470.00 is: 5,165.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.47 : 5,193.16 = 3,470.00 : x
  2. Step 2: Convert to fraction form
    3,488.47/5,193.16 = 3,470.00/x
  3. Step 3: Cross multiply
    3,488.47x = 5,193.16 × 3,470.00
  4. Step 4: Simplify right side
    3,488.47x = 18,020,230.56
  5. Step 5: Solve for x
    x = 18,020,230.56/3,488.47
  6. Step 6: Final answer
    x = 5,165.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.