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Finding the Fourth Proportional to 3,690.40, 5,343.40 and 3,690.40

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Solution

The fourth proportional to 3,690.40, 5,343.40 and 3,690.40 is: 5,343.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,690.40 : 5,343.40 = 3,690.40 : x
  2. Step 2: Convert to fraction form
    3,690.40/5,343.40 = 3,690.40/x
  3. Step 3: Cross multiply
    3,690.40x = 5,343.40 × 3,690.40
  4. Step 4: Simplify right side
    3,690.40x = 19,719,283.36
  5. Step 5: Solve for x
    x = 19,719,283.36/3,690.40
  6. Step 6: Final answer
    x = 5,343.40

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.