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Finding the Fourth Proportional to 3,872.89, 5,809.34 and 1,566.01

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Solution

The fourth proportional to 3,872.89, 5,809.34 and 1,566.01 is: 2,349.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.89 : 5,809.34 = 1,566.01 : x
  2. Step 2: Convert to fraction form
    3,872.89/5,809.34 = 1,566.01/x
  3. Step 3: Cross multiply
    3,872.89x = 5,809.34 × 1,566.01
  4. Step 4: Simplify right side
    3,872.89x = 9,097,484.53
  5. Step 5: Solve for x
    x = 9,097,484.53/3,872.89
  6. Step 6: Final answer
    x = 2,349.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.