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Finding the Fourth Proportional to 6,037.57, 9,053.43 and 1,877.61

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Solution

The fourth proportional to 6,037.57, 9,053.43 and 1,877.61 is: 2,815.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,037.57 : 9,053.43 = 1,877.61 : x
  2. Step 2: Convert to fraction form
    6,037.57/9,053.43 = 1,877.61/x
  3. Step 3: Cross multiply
    6,037.57x = 9,053.43 × 1,877.61
  4. Step 4: Simplify right side
    6,037.57x = 16,998,766.50
  5. Step 5: Solve for x
    x = 16,998,766.50/6,037.57
  6. Step 6: Final answer
    x = 2,815.50

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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.