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Finding the Fourth Proportional to 3,966.18, 5,941.34 and 1,888.20

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Solution

The fourth proportional to 3,966.18, 5,941.34 and 1,888.20 is: 2,828.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.18 : 5,941.34 = 1,888.20 : x
  2. Step 2: Convert to fraction form
    3,966.18/5,941.34 = 1,888.20/x
  3. Step 3: Cross multiply
    3,966.18x = 5,941.34 × 1,888.20
  4. Step 4: Simplify right side
    3,966.18x = 11,218,428.75
  5. Step 5: Solve for x
    x = 11,218,428.75/3,966.18
  6. Step 6: Final answer
    x = 2,828.52

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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.