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Finding the Fourth Proportional to 4,294.87, 6,444.13 and 1,830.85

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Solution

The fourth proportional to 4,294.87, 6,444.13 and 1,830.85 is: 2,747.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.87 : 6,444.13 = 1,830.85 : x
  2. Step 2: Convert to fraction form
    4,294.87/6,444.13 = 1,830.85/x
  3. Step 3: Cross multiply
    4,294.87x = 6,444.13 × 1,830.85
  4. Step 4: Simplify right side
    4,294.87x = 11,798,203.19
  5. Step 5: Solve for x
    x = 11,798,203.19/4,294.87
  6. Step 6: Final answer
    x = 2,747.05

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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.