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Finding the Fourth Proportional to 4,356, 6,002.88 and 2,781.36

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Solution

The fourth proportional to 4,356, 6,002.88 and 2,781.36 is: 3,832.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,356 : 6,002.88 = 2,781.36 : x
  2. Step 2: Convert to fraction form
    4,356/6,002.88 = 2,781.36/x
  3. Step 3: Cross multiply
    4,356x = 6,002.88 × 2,781.36
  4. Step 4: Simplify right side
    4,356x = 16,696,170.32
  5. Step 5: Solve for x
    x = 16,696,170.32/4,356
  6. Step 6: Final answer
    x = 3,832.91

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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.