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Finding the Fourth Proportional to 3,966.43, 5,941.71 and 1,888.45

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Solution

The fourth proportional to 3,966.43, 5,941.71 and 1,888.45 is: 2,828.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.43 : 5,941.71 = 1,888.45 : x
  2. Step 2: Convert to fraction form
    3,966.43/5,941.71 = 1,888.45/x
  3. Step 3: Cross multiply
    3,966.43x = 5,941.71 × 1,888.45
  4. Step 4: Simplify right side
    3,966.43x = 11,220,622.25
  5. Step 5: Solve for x
    x = 11,220,622.25/3,966.43
  6. Step 6: Final answer
    x = 2,828.90

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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.