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Finding the Fourth Proportional to 3,480.65, 5,223.50 and 1,289.69

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Solution

The fourth proportional to 3,480.65, 5,223.50 and 1,289.69 is: 1,935.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,480.65 : 5,223.50 = 1,289.69 : x
  2. Step 2: Convert to fraction form
    3,480.65/5,223.50 = 1,289.69/x
  3. Step 3: Cross multiply
    3,480.65x = 5,223.50 × 1,289.69
  4. Step 4: Simplify right side
    3,480.65x = 6,736,689.27
  5. Step 5: Solve for x
    x = 6,736,689.27/3,480.65
  6. Step 6: Final answer
    x = 1,935.47

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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.