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Finding the Fourth Proportional to 4,377.84, 6,561 and 2,430.96

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Solution

The fourth proportional to 4,377.84, 6,561 and 2,430.96 is: 3,643.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,377.84 : 6,561 = 2,430.96 : x
  2. Step 2: Convert to fraction form
    4,377.84/6,561 = 2,430.96/x
  3. Step 3: Cross multiply
    4,377.84x = 6,561 × 2,430.96
  4. Step 4: Simplify right side
    4,377.84x = 15,949,528.56
  5. Step 5: Solve for x
    x = 15,949,528.56/4,377.84
  6. Step 6: Final answer
    x = 3,643.24

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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.