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Finding the Fourth Proportional to 6,129.40, 8,459.20 and 3,612.30

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Solution

The fourth proportional to 6,129.40, 8,459.20 and 3,612.30 is: 4,985.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129.40 : 8,459.20 = 3,612.30 : x
  2. Step 2: Convert to fraction form
    6,129.40/8,459.20 = 3,612.30/x
  3. Step 3: Cross multiply
    6,129.40x = 8,459.20 × 3,612.30
  4. Step 4: Simplify right side
    6,129.40x = 30,557,168.16
  5. Step 5: Solve for x
    x = 30,557,168.16/6,129.40
  6. Step 6: Final answer
    x = 4,985.34

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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.