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Finding the Fourth Proportional to 4,757.17, 7,134.95 and 1,294.42

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Solution

The fourth proportional to 4,757.17, 7,134.95 and 1,294.42 is: 1,941.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.17 : 7,134.95 = 1,294.42 : x
  2. Step 2: Convert to fraction form
    4,757.17/7,134.95 = 1,294.42/x
  3. Step 3: Cross multiply
    4,757.17x = 7,134.95 × 1,294.42
  4. Step 4: Simplify right side
    4,757.17x = 9,235,615.51
  5. Step 5: Solve for x
    x = 9,235,615.51/4,757.17
  6. Step 6: Final answer
    x = 1,941.41

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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.