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Finding the Fourth Proportional to 4,982.31, 7,473.47 and 1,695.33

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Solution

The fourth proportional to 4,982.31, 7,473.47 and 1,695.33 is: 2,543.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,982.31 : 7,473.47 = 1,695.33 : x
  2. Step 2: Convert to fraction form
    4,982.31/7,473.47 = 1,695.33/x
  3. Step 3: Cross multiply
    4,982.31x = 7,473.47 × 1,695.33
  4. Step 4: Simplify right side
    4,982.31x = 12,669,989.42
  5. Step 5: Solve for x
    x = 12,669,989.42/4,982.31
  6. Step 6: Final answer
    x = 2,543.00

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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.