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Finding the Fourth Proportional to 4,129.57, 6,193.54 and 1,207.16

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Solution

The fourth proportional to 4,129.57, 6,193.54 and 1,207.16 is: 1,810.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129.57 : 6,193.54 = 1,207.16 : x
  2. Step 2: Convert to fraction form
    4,129.57/6,193.54 = 1,207.16/x
  3. Step 3: Cross multiply
    4,129.57x = 6,193.54 × 1,207.16
  4. Step 4: Simplify right side
    4,129.57x = 7,476,593.75
  5. Step 5: Solve for x
    x = 7,476,593.75/4,129.57
  6. Step 6: Final answer
    x = 1,810.50

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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.