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Finding the Fourth Proportional to 3,917.64, 5,877.34 and 1,320.50

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Solution

The fourth proportional to 3,917.64, 5,877.34 and 1,320.50 is: 1,981.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,917.64 : 5,877.34 = 1,320.50 : x
  2. Step 2: Convert to fraction form
    3,917.64/5,877.34 = 1,320.50/x
  3. Step 3: Cross multiply
    3,917.64x = 5,877.34 × 1,320.50
  4. Step 4: Simplify right side
    3,917.64x = 7,761,027.47
  5. Step 5: Solve for x
    x = 7,761,027.47/3,917.64
  6. Step 6: Final answer
    x = 1,981.05

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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.