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Finding the Fourth Proportional to 3,158.08, 4,727.20 and 2,605.12

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Solution

The fourth proportional to 3,158.08, 4,727.20 and 2,605.12 is: 3,899.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.08 : 4,727.20 = 2,605.12 : x
  2. Step 2: Convert to fraction form
    3,158.08/4,727.20 = 2,605.12/x
  3. Step 3: Cross multiply
    3,158.08x = 4,727.20 × 2,605.12
  4. Step 4: Simplify right side
    3,158.08x = 12,314,923.26
  5. Step 5: Solve for x
    x = 12,314,923.26/3,158.08
  6. Step 6: Final answer
    x = 3,899.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.