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Finding the Fourth Proportional to 3,461.71, 4,776.38 and 3,343.15

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Solution

The fourth proportional to 3,461.71, 4,776.38 and 3,343.15 is: 4,612.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.71 : 4,776.38 = 3,343.15 : x
  2. Step 2: Convert to fraction form
    3,461.71/4,776.38 = 3,343.15/x
  3. Step 3: Cross multiply
    3,461.71x = 4,776.38 × 3,343.15
  4. Step 4: Simplify right side
    3,461.71x = 15,968,138.08
  5. Step 5: Solve for x
    x = 15,968,138.08/3,461.71
  6. Step 6: Final answer
    x = 4,612.79

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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.