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Finding the Fourth Proportional to 5,675.50, 8,506.06 and 2,552.17

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Solution

The fourth proportional to 5,675.50, 8,506.06 and 2,552.17 is: 3,825.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,675.50 : 8,506.06 = 2,552.17 : x
  2. Step 2: Convert to fraction form
    5,675.50/8,506.06 = 2,552.17/x
  3. Step 3: Cross multiply
    5,675.50x = 8,506.06 × 2,552.17
  4. Step 4: Simplify right side
    5,675.50x = 21,708,911.15
  5. Step 5: Solve for x
    x = 21,708,911.15/5,675.50
  6. Step 6: Final answer
    x = 3,825.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.