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Finding the Fourth Proportional to 4,348, 6,000.36 and 2,459.87

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Solution

The fourth proportional to 4,348, 6,000.36 and 2,459.87 is: 3,394.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,348 : 6,000.36 = 2,459.87 : x
  2. Step 2: Convert to fraction form
    4,348/6,000.36 = 2,459.87/x
  3. Step 3: Cross multiply
    4,348x = 6,000.36 × 2,459.87
  4. Step 4: Simplify right side
    4,348x = 14,760,105.55
  5. Step 5: Solve for x
    x = 14,760,105.55/4,348
  6. Step 6: Final answer
    x = 3,394.69

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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.