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Finding the Fourth Proportional to 4,348, 6,001.05 and 2,485

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Solution

The fourth proportional to 4,348, 6,001.05 and 2,485 is: 3,429.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,348 : 6,001.05 = 2,485 : x
  2. Step 2: Convert to fraction form
    4,348/6,001.05 = 2,485/x
  3. Step 3: Cross multiply
    4,348x = 6,001.05 × 2,485
  4. Step 4: Simplify right side
    4,348x = 14,912,609.25
  5. Step 5: Solve for x
    x = 14,912,609.25/4,348
  6. Step 6: Final answer
    x = 3,429.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.