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Finding the Fourth Proportional to 5,678.14, 7,834.01 and 3,439.30

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Solution

The fourth proportional to 5,678.14, 7,834.01 and 3,439.30 is: 4,745.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.14 : 7,834.01 = 3,439.30 : x
  2. Step 2: Convert to fraction form
    5,678.14/7,834.01 = 3,439.30/x
  3. Step 3: Cross multiply
    5,678.14x = 7,834.01 × 3,439.30
  4. Step 4: Simplify right side
    5,678.14x = 26,943,510.59
  5. Step 5: Solve for x
    x = 26,943,510.59/5,678.14
  6. Step 6: Final answer
    x = 4,745.13

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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.