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Finding the Fourth Proportional to 4,461.20, 6,161.64 and 4,202

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Solution

The fourth proportional to 4,461.20, 6,161.64 and 4,202 is: 5,803.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,461.20 : 6,161.64 = 4,202 : x
  2. Step 2: Convert to fraction form
    4,461.20/6,161.64 = 4,202/x
  3. Step 3: Cross multiply
    4,461.20x = 6,161.64 × 4,202
  4. Step 4: Simplify right side
    4,461.20x = 25,891,211.28
  5. Step 5: Solve for x
    x = 25,891,211.28/4,461.20
  6. Step 6: Final answer
    x = 5,803.64

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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.