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Finding the Fourth Proportional to 4,277.50, 5,902.95 and 2,414.86

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Solution

The fourth proportional to 4,277.50, 5,902.95 and 2,414.86 is: 3,332.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,277.50 : 5,902.95 = 2,414.86 : x
  2. Step 2: Convert to fraction form
    4,277.50/5,902.95 = 2,414.86/x
  3. Step 3: Cross multiply
    4,277.50x = 5,902.95 × 2,414.86
  4. Step 4: Simplify right side
    4,277.50x = 14,254,797.84
  5. Step 5: Solve for x
    x = 14,254,797.84/4,277.50
  6. Step 6: Final answer
    x = 3,332.51

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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.