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Finding the Fourth Proportional to 4,278.24, 5,902.02 and 2,415.24

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Solution

The fourth proportional to 4,278.24, 5,902.02 and 2,415.24 is: 3,331.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,278.24 : 5,902.02 = 2,415.24 : x
  2. Step 2: Convert to fraction form
    4,278.24/5,902.02 = 2,415.24/x
  3. Step 3: Cross multiply
    4,278.24x = 5,902.02 × 2,415.24
  4. Step 4: Simplify right side
    4,278.24x = 14,254,794.78
  5. Step 5: Solve for x
    x = 14,254,794.78/4,278.24
  6. Step 6: Final answer
    x = 3,331.93

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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.