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Finding the Fourth Proportional to 3,499.68, 4,829.49 and 1,927.74

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Solution

The fourth proportional to 3,499.68, 4,829.49 and 1,927.74 is: 2,660.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,499.68 : 4,829.49 = 1,927.74 : x
  2. Step 2: Convert to fraction form
    3,499.68/4,829.49 = 1,927.74/x
  3. Step 3: Cross multiply
    3,499.68x = 4,829.49 × 1,927.74
  4. Step 4: Simplify right side
    3,499.68x = 9,310,001.05
  5. Step 5: Solve for x
    x = 9,310,001.05/3,499.68
  6. Step 6: Final answer
    x = 2,660.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.