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Finding the Fourth Proportional to 7,222.80, 10,834.20 and 3,527.40

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Solution

The fourth proportional to 7,222.80, 10,834.20 and 3,527.40 is: 5,291.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,222.80 : 10,834.20 = 3,527.40 : x
  2. Step 2: Convert to fraction form
    7,222.80/10,834.20 = 3,527.40/x
  3. Step 3: Cross multiply
    7,222.80x = 10,834.20 × 3,527.40
  4. Step 4: Simplify right side
    7,222.80x = 38,216,557.08
  5. Step 5: Solve for x
    x = 38,216,557.08/7,222.80
  6. Step 6: Final answer
    x = 5,291.10

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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.