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Finding the Fourth Proportional to 4,347.92, 5,999.10 and 2,459.40

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Solution

The fourth proportional to 4,347.92, 5,999.10 and 2,459.40 is: 3,393.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,347.92 : 5,999.10 = 2,459.40 : x
  2. Step 2: Convert to fraction form
    4,347.92/5,999.10 = 2,459.40/x
  3. Step 3: Cross multiply
    4,347.92x = 5,999.10 × 2,459.40
  4. Step 4: Simplify right side
    4,347.92x = 14,754,186.54
  5. Step 5: Solve for x
    x = 14,754,186.54/4,347.92
  6. Step 6: Final answer
    x = 3,393.39

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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.