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Finding the Fourth Proportional to 4,812.40, 6,615.38 and 4,337.20

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Solution

The fourth proportional to 4,812.40, 6,615.38 and 4,337.20 is: 5,962.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,812.40 : 6,615.38 = 4,337.20 : x
  2. Step 2: Convert to fraction form
    4,812.40/6,615.38 = 4,337.20/x
  3. Step 3: Cross multiply
    4,812.40x = 6,615.38 × 4,337.20
  4. Step 4: Simplify right side
    4,812.40x = 28,692,226.14
  5. Step 5: Solve for x
    x = 28,692,226.14/4,812.40
  6. Step 6: Final answer
    x = 5,962.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.