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Finding the Fourth Proportional to 3,664, 5,056.24 and 2,248.24

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Solution

The fourth proportional to 3,664, 5,056.24 and 2,248.24 is: 3,102.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664 : 5,056.24 = 2,248.24 : x
  2. Step 2: Convert to fraction form
    3,664/5,056.24 = 2,248.24/x
  3. Step 3: Cross multiply
    3,664x = 5,056.24 × 2,248.24
  4. Step 4: Simplify right side
    3,664x = 11,367,641.02
  5. Step 5: Solve for x
    x = 11,367,641.02/3,664
  6. Step 6: Final answer
    x = 3,102.52

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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.