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Finding the Fourth Proportional to 4,807.73, 7,206.64 and 3,488.20

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Solution

The fourth proportional to 4,807.73, 7,206.64 and 3,488.20 is: 5,228.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,807.73 : 7,206.64 = 3,488.20 : x
  2. Step 2: Convert to fraction form
    4,807.73/7,206.64 = 3,488.20/x
  3. Step 3: Cross multiply
    4,807.73x = 7,206.64 × 3,488.20
  4. Step 4: Simplify right side
    4,807.73x = 25,138,201.65
  5. Step 5: Solve for x
    x = 25,138,201.65/4,807.73
  6. Step 6: Final answer
    x = 5,228.70

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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.