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Finding the Fourth Proportional to 4,294.06, 6,441.10 and 1,520.76

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Solution

The fourth proportional to 4,294.06, 6,441.10 and 1,520.76 is: 2,281.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.06 : 6,441.10 = 1,520.76 : x
  2. Step 2: Convert to fraction form
    4,294.06/6,441.10 = 1,520.76/x
  3. Step 3: Cross multiply
    4,294.06x = 6,441.10 × 1,520.76
  4. Step 4: Simplify right side
    4,294.06x = 9,795,363.43
  5. Step 5: Solve for x
    x = 9,795,363.43/4,294.06
  6. Step 6: Final answer
    x = 2,281.14

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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.