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Finding the Fourth Proportional to 5,632.40, 8,448.60 and 4,069.10

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Solution

The fourth proportional to 5,632.40, 8,448.60 and 4,069.10 is: 6,103.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632.40 : 8,448.60 = 4,069.10 : x
  2. Step 2: Convert to fraction form
    5,632.40/8,448.60 = 4,069.10/x
  3. Step 3: Cross multiply
    5,632.40x = 8,448.60 × 4,069.10
  4. Step 4: Simplify right side
    5,632.40x = 34,378,198.26
  5. Step 5: Solve for x
    x = 34,378,198.26/5,632.40
  6. Step 6: Final answer
    x = 6,103.65

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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.