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Finding the Fourth Proportional to 5,977.10, 8,963.04 and 3,202.94

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Solution

The fourth proportional to 5,977.10, 8,963.04 and 3,202.94 is: 4,803.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977.10 : 8,963.04 = 3,202.94 : x
  2. Step 2: Convert to fraction form
    5,977.10/8,963.04 = 3,202.94/x
  3. Step 3: Cross multiply
    5,977.10x = 8,963.04 × 3,202.94
  4. Step 4: Simplify right side
    5,977.10x = 28,708,079.34
  5. Step 5: Solve for x
    x = 28,708,079.34/5,977.10
  6. Step 6: Final answer
    x = 4,803.01

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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.