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Finding the Fourth Proportional to 5,754.88, 7,941.66 and 3,237.42

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Solution

The fourth proportional to 5,754.88, 7,941.66 and 3,237.42 is: 4,467.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.88 : 7,941.66 = 3,237.42 : x
  2. Step 2: Convert to fraction form
    5,754.88/7,941.66 = 3,237.42/x
  3. Step 3: Cross multiply
    5,754.88x = 7,941.66 × 3,237.42
  4. Step 4: Simplify right side
    5,754.88x = 25,710,488.92
  5. Step 5: Solve for x
    x = 25,710,488.92/5,754.88
  6. Step 6: Final answer
    x = 4,467.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.