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Finding the Fourth Proportional to 3,140.10, 4,226.17 and 3,140.10

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Solution

The fourth proportional to 3,140.10, 4,226.17 and 3,140.10 is: 4,226.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.10 : 4,226.17 = 3,140.10 : x
  2. Step 2: Convert to fraction form
    3,140.10/4,226.17 = 3,140.10/x
  3. Step 3: Cross multiply
    3,140.10x = 4,226.17 × 3,140.10
  4. Step 4: Simplify right side
    3,140.10x = 13,270,596.42
  5. Step 5: Solve for x
    x = 13,270,596.42/3,140.10
  6. Step 6: Final answer
    x = 4,226.17

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.