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Finding the Fourth Proportional to 5,643.34, 8,463.14 and 1,945.48

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Solution

The fourth proportional to 5,643.34, 8,463.14 and 1,945.48 is: 2,917.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.34 : 8,463.14 = 1,945.48 : x
  2. Step 2: Convert to fraction form
    5,643.34/8,463.14 = 1,945.48/x
  3. Step 3: Cross multiply
    5,643.34x = 8,463.14 × 1,945.48
  4. Step 4: Simplify right side
    5,643.34x = 16,464,869.61
  5. Step 5: Solve for x
    x = 16,464,869.61/5,643.34
  6. Step 6: Final answer
    x = 2,917.58

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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.