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Finding the Fourth Proportional to 3,225.93, 4,839.14 and 1,377.06

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Solution

The fourth proportional to 3,225.93, 4,839.14 and 1,377.06 is: 2,065.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,225.93 : 4,839.14 = 1,377.06 : x
  2. Step 2: Convert to fraction form
    3,225.93/4,839.14 = 1,377.06/x
  3. Step 3: Cross multiply
    3,225.93x = 4,839.14 × 1,377.06
  4. Step 4: Simplify right side
    3,225.93x = 6,663,786.13
  5. Step 5: Solve for x
    x = 6,663,786.13/3,225.93
  6. Step 6: Final answer
    x = 2,065.69

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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.