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Finding the Fourth Proportional to 3,053.59, 4,580.68 and 862.33

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Solution

The fourth proportional to 3,053.59, 4,580.68 and 862.33 is: 1,293.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.59 : 4,580.68 = 862.33 : x
  2. Step 2: Convert to fraction form
    3,053.59/4,580.68 = 862.33/x
  3. Step 3: Cross multiply
    3,053.59x = 4,580.68 × 862.33
  4. Step 4: Simplify right side
    3,053.59x = 3,950,057.78
  5. Step 5: Solve for x
    x = 3,950,057.78/3,053.59
  6. Step 6: Final answer
    x = 1,293.58

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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.