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Finding the Fourth Proportional to 3,834.04, 5,751.06 and 2,377.40

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Solution

The fourth proportional to 3,834.04, 5,751.06 and 2,377.40 is: 3,566.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.04 : 5,751.06 = 2,377.40 : x
  2. Step 2: Convert to fraction form
    3,834.04/5,751.06 = 2,377.40/x
  3. Step 3: Cross multiply
    3,834.04x = 5,751.06 × 2,377.40
  4. Step 4: Simplify right side
    3,834.04x = 13,672,570.04
  5. Step 5: Solve for x
    x = 13,672,570.04/3,834.04
  6. Step 6: Final answer
    x = 3,566.10

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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.