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Finding the Fourth Proportional to 4,634.46, 6,952.90 and 1,347.48

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Solution

The fourth proportional to 4,634.46, 6,952.90 and 1,347.48 is: 2,021.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,634.46 : 6,952.90 = 1,347.48 : x
  2. Step 2: Convert to fraction form
    4,634.46/6,952.90 = 1,347.48/x
  3. Step 3: Cross multiply
    4,634.46x = 6,952.90 × 1,347.48
  4. Step 4: Simplify right side
    4,634.46x = 9,368,893.69
  5. Step 5: Solve for x
    x = 9,368,893.69/4,634.46
  6. Step 6: Final answer
    x = 2,021.57

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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.