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Finding the Fourth Proportional to 6,554.80, 9,035.52 and 5,226.40

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Solution

The fourth proportional to 6,554.80, 9,035.52 and 5,226.40 is: 7,204.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,554.80 : 9,035.52 = 5,226.40 : x
  2. Step 2: Convert to fraction form
    6,554.80/9,035.52 = 5,226.40/x
  3. Step 3: Cross multiply
    6,554.80x = 9,035.52 × 5,226.40
  4. Step 4: Simplify right side
    6,554.80x = 47,223,241.73
  5. Step 5: Solve for x
    x = 47,223,241.73/6,554.80
  6. Step 6: Final answer
    x = 7,204.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.