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Finding the Fourth Proportional to 5,968.41, 8,953.72 and 1,966.02

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Solution

The fourth proportional to 5,968.41, 8,953.72 and 1,966.02 is: 2,949.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,968.41 : 8,953.72 = 1,966.02 : x
  2. Step 2: Convert to fraction form
    5,968.41/8,953.72 = 1,966.02/x
  3. Step 3: Cross multiply
    5,968.41x = 8,953.72 × 1,966.02
  4. Step 4: Simplify right side
    5,968.41x = 17,603,232.31
  5. Step 5: Solve for x
    x = 17,603,232.31/5,968.41
  6. Step 6: Final answer
    x = 2,949.40

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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.