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Finding the Fourth Proportional to 7,048.62, 10,574.15 and 3,538.89

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Solution

The fourth proportional to 7,048.62, 10,574.15 and 3,538.89 is: 5,308.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,048.62 : 10,574.15 = 3,538.89 : x
  2. Step 2: Convert to fraction form
    7,048.62/10,574.15 = 3,538.89/x
  3. Step 3: Cross multiply
    7,048.62x = 10,574.15 × 3,538.89
  4. Step 4: Simplify right side
    7,048.62x = 37,420,736.00
  5. Step 5: Solve for x
    x = 37,420,736.00/7,048.62
  6. Step 6: Final answer
    x = 5,308.95

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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.