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Finding the Fourth Proportional to 5,297, 7,945.50 and 1,649

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Solution

The fourth proportional to 5,297, 7,945.50 and 1,649 is: 2,473.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297 : 7,945.50 = 1,649 : x
  2. Step 2: Convert to fraction form
    5,297/7,945.50 = 1,649/x
  3. Step 3: Cross multiply
    5,297x = 7,945.50 × 1,649
  4. Step 4: Simplify right side
    5,297x = 13,102,129.50
  5. Step 5: Solve for x
    x = 13,102,129.50/5,297
  6. Step 6: Final answer
    x = 2,473.50

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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.