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Finding the Fourth Proportional to 3,415.34, 4,713.24 and 2,088.78

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Solution

The fourth proportional to 3,415.34, 4,713.24 and 2,088.78 is: 2,882.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.34 : 4,713.24 = 2,088.78 : x
  2. Step 2: Convert to fraction form
    3,415.34/4,713.24 = 2,088.78/x
  3. Step 3: Cross multiply
    3,415.34x = 4,713.24 × 2,088.78
  4. Step 4: Simplify right side
    3,415.34x = 9,844,921.45
  5. Step 5: Solve for x
    x = 9,844,921.45/3,415.34
  6. Step 6: Final answer
    x = 2,882.56

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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.