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Finding the Fourth Proportional to 4,187.40, 5,775.48 and 2,859

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Solution

The fourth proportional to 4,187.40, 5,775.48 and 2,859 is: 3,943.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,187.40 : 5,775.48 = 2,859 : x
  2. Step 2: Convert to fraction form
    4,187.40/5,775.48 = 2,859/x
  3. Step 3: Cross multiply
    4,187.40x = 5,775.48 × 2,859
  4. Step 4: Simplify right side
    4,187.40x = 16,512,097.32
  5. Step 5: Solve for x
    x = 16,512,097.32/4,187.40
  6. Step 6: Final answer
    x = 3,943.28

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