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Finding the Fourth Proportional to 5,965.47, 8,946.81 and 2,454.57

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Solution

The fourth proportional to 5,965.47, 8,946.81 and 2,454.57 is: 3,681.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.47 : 8,946.81 = 2,454.57 : x
  2. Step 2: Convert to fraction form
    5,965.47/8,946.81 = 2,454.57/x
  3. Step 3: Cross multiply
    5,965.47x = 8,946.81 × 2,454.57
  4. Step 4: Simplify right side
    5,965.47x = 21,960,571.42
  5. Step 5: Solve for x
    x = 21,960,571.42/5,965.47
  6. Step 6: Final answer
    x = 3,681.28

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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.