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Finding the Fourth Proportional to 3,872.84, 5,809.24 and 1,407.61

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Solution

The fourth proportional to 3,872.84, 5,809.24 and 1,407.61 is: 2,111.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.84 : 5,809.24 = 1,407.61 : x
  2. Step 2: Convert to fraction form
    3,872.84/5,809.24 = 1,407.61/x
  3. Step 3: Cross multiply
    3,872.84x = 5,809.24 × 1,407.61
  4. Step 4: Simplify right side
    3,872.84x = 8,177,108.23
  5. Step 5: Solve for x
    x = 8,177,108.23/3,872.84
  6. Step 6: Final answer
    x = 2,111.40

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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.