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Finding the Fourth Proportional to 3,656.31, 5,046 and 2,084.52

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Solution

The fourth proportional to 3,656.31, 5,046 and 2,084.52 is: 2,876.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.31 : 5,046 = 2,084.52 : x
  2. Step 2: Convert to fraction form
    3,656.31/5,046 = 2,084.52/x
  3. Step 3: Cross multiply
    3,656.31x = 5,046 × 2,084.52
  4. Step 4: Simplify right side
    3,656.31x = 10,518,487.92
  5. Step 5: Solve for x
    x = 10,518,487.92/3,656.31
  6. Step 6: Final answer
    x = 2,876.80

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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.