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Finding the Fourth Proportional to 3,057.62, 4,219.25 and 1,878.66

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Solution

The fourth proportional to 3,057.62, 4,219.25 and 1,878.66 is: 2,592.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.62 : 4,219.25 = 1,878.66 : x
  2. Step 2: Convert to fraction form
    3,057.62/4,219.25 = 1,878.66/x
  3. Step 3: Cross multiply
    3,057.62x = 4,219.25 × 1,878.66
  4. Step 4: Simplify right side
    3,057.62x = 7,926,526.81
  5. Step 5: Solve for x
    x = 7,926,526.81/3,057.62
  6. Step 6: Final answer
    x = 2,592.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.