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Finding the Fourth Proportional to 4,622.31, 6,931.03 and 2,282.22

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Solution

The fourth proportional to 4,622.31, 6,931.03 and 2,282.22 is: 3,422.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,622.31 : 6,931.03 = 2,282.22 : x
  2. Step 2: Convert to fraction form
    4,622.31/6,931.03 = 2,282.22/x
  3. Step 3: Cross multiply
    4,622.31x = 6,931.03 × 2,282.22
  4. Step 4: Simplify right side
    4,622.31x = 15,818,135.29
  5. Step 5: Solve for x
    x = 15,818,135.29/4,622.31
  6. Step 6: Final answer
    x = 3,422.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.