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Finding the Fourth Proportional to 3,209.48, 4,810.53 and 1,474.46

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Solution

The fourth proportional to 3,209.48, 4,810.53 and 1,474.46 is: 2,209.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.48 : 4,810.53 = 1,474.46 : x
  2. Step 2: Convert to fraction form
    3,209.48/4,810.53 = 1,474.46/x
  3. Step 3: Cross multiply
    3,209.48x = 4,810.53 × 1,474.46
  4. Step 4: Simplify right side
    3,209.48x = 7,092,934.06
  5. Step 5: Solve for x
    x = 7,092,934.06/3,209.48
  6. Step 6: Final answer
    x = 2,209.99

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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.