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Finding the Fourth Proportional to 5,772.84, 8,659.12 and 2,074.36

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Solution

The fourth proportional to 5,772.84, 8,659.12 and 2,074.36 is: 3,111.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772.84 : 8,659.12 = 2,074.36 : x
  2. Step 2: Convert to fraction form
    5,772.84/8,659.12 = 2,074.36/x
  3. Step 3: Cross multiply
    5,772.84x = 8,659.12 × 2,074.36
  4. Step 4: Simplify right side
    5,772.84x = 17,962,132.16
  5. Step 5: Solve for x
    x = 17,962,132.16/5,772.84
  6. Step 6: Final answer
    x = 3,111.49

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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.