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Finding the Fourth Proportional to 4,371.80, 6,561 and 2,981.84

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Solution

The fourth proportional to 4,371.80, 6,561 and 2,981.84 is: 4,475.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,371.80 : 6,561 = 2,981.84 : x
  2. Step 2: Convert to fraction form
    4,371.80/6,561 = 2,981.84/x
  3. Step 3: Cross multiply
    4,371.80x = 6,561 × 2,981.84
  4. Step 4: Simplify right side
    4,371.80x = 19,563,852.24
  5. Step 5: Solve for x
    x = 19,563,852.24/4,371.80
  6. Step 6: Final answer
    x = 4,475.01

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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.