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Finding the Fourth Proportional to 4,634.02, 6,952.10 and 1,347.17

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Solution

The fourth proportional to 4,634.02, 6,952.10 and 1,347.17 is: 2,021.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,634.02 : 6,952.10 = 1,347.17 : x
  2. Step 2: Convert to fraction form
    4,634.02/6,952.10 = 1,347.17/x
  3. Step 3: Cross multiply
    4,634.02x = 6,952.10 × 1,347.17
  4. Step 4: Simplify right side
    4,634.02x = 9,365,660.56
  5. Step 5: Solve for x
    x = 9,365,660.56/4,634.02
  6. Step 6: Final answer
    x = 2,021.07

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