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Finding the Fourth Proportional to 2,835.72, 4,228.56 and 2,490.48

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Solution

The fourth proportional to 2,835.72, 4,228.56 and 2,490.48 is: 3,713.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835.72 : 4,228.56 = 2,490.48 : x
  2. Step 2: Convert to fraction form
    2,835.72/4,228.56 = 2,490.48/x
  3. Step 3: Cross multiply
    2,835.72x = 4,228.56 × 2,490.48
  4. Step 4: Simplify right side
    2,835.72x = 10,531,144.11
  5. Step 5: Solve for x
    x = 10,531,144.11/2,835.72
  6. Step 6: Final answer
    x = 3,713.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.