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Finding the Fourth Proportional to 5,454.63, 8,182.35 and 1,945.35

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Solution

The fourth proportional to 5,454.63, 8,182.35 and 1,945.35 is: 2,918.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,454.63 : 8,182.35 = 1,945.35 : x
  2. Step 2: Convert to fraction form
    5,454.63/8,182.35 = 1,945.35/x
  3. Step 3: Cross multiply
    5,454.63x = 8,182.35 × 1,945.35
  4. Step 4: Simplify right side
    5,454.63x = 15,917,534.57
  5. Step 5: Solve for x
    x = 15,917,534.57/5,454.63
  6. Step 6: Final answer
    x = 2,918.17

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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.