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Finding the Fourth Proportional to 5,847.64, 8,758.23 and 4,100.40

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Solution

The fourth proportional to 5,847.64, 8,758.23 and 4,100.40 is: 6,141.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,847.64 : 8,758.23 = 4,100.40 : x
  2. Step 2: Convert to fraction form
    5,847.64/8,758.23 = 4,100.40/x
  3. Step 3: Cross multiply
    5,847.64x = 8,758.23 × 4,100.40
  4. Step 4: Simplify right side
    5,847.64x = 35,912,246.29
  5. Step 5: Solve for x
    x = 35,912,246.29/5,847.64
  6. Step 6: Final answer
    x = 6,141.32

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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.