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Finding the Fourth Proportional to 3,057.33, 4,187.50 and 2,877.80

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Solution

The fourth proportional to 3,057.33, 4,187.50 and 2,877.80 is: 3,941.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.33 : 4,187.50 = 2,877.80 : x
  2. Step 2: Convert to fraction form
    3,057.33/4,187.50 = 2,877.80/x
  3. Step 3: Cross multiply
    3,057.33x = 4,187.50 × 2,877.80
  4. Step 4: Simplify right side
    3,057.33x = 12,050,772.75
  5. Step 5: Solve for x
    x = 12,050,772.75/3,057.33
  6. Step 6: Final answer
    x = 3,941.60

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.