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Finding the Fourth Proportional to 4,363.17, 6,544.80 and 1,765.50

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Solution

The fourth proportional to 4,363.17, 6,544.80 and 1,765.50 is: 2,648.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,363.17 : 6,544.80 = 1,765.50 : x
  2. Step 2: Convert to fraction form
    4,363.17/6,544.80 = 1,765.50/x
  3. Step 3: Cross multiply
    4,363.17x = 6,544.80 × 1,765.50
  4. Step 4: Simplify right side
    4,363.17x = 11,554,844.40
  5. Step 5: Solve for x
    x = 11,554,844.40/4,363.17
  6. Step 6: Final answer
    x = 2,648.27

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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.