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Finding the Fourth Proportional to 3,527.70, 4,872.24 and 2,406.72

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Solution

The fourth proportional to 3,527.70, 4,872.24 and 2,406.72 is: 3,324.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.70 : 4,872.24 = 2,406.72 : x
  2. Step 2: Convert to fraction form
    3,527.70/4,872.24 = 2,406.72/x
  3. Step 3: Cross multiply
    3,527.70x = 4,872.24 × 2,406.72
  4. Step 4: Simplify right side
    3,527.70x = 11,726,117.45
  5. Step 5: Solve for x
    x = 11,726,117.45/3,527.70
  6. Step 6: Final answer
    x = 3,324.01

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Why These Related Problems?

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