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Finding the Fourth Proportional to 3,497.65, 4,829.02 and 2,239.21

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Solution

The fourth proportional to 3,497.65, 4,829.02 and 2,239.21 is: 3,091.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.65 : 4,829.02 = 2,239.21 : x
  2. Step 2: Convert to fraction form
    3,497.65/4,829.02 = 2,239.21/x
  3. Step 3: Cross multiply
    3,497.65x = 4,829.02 × 2,239.21
  4. Step 4: Simplify right side
    3,497.65x = 10,813,190.31
  5. Step 5: Solve for x
    x = 10,813,190.31/3,497.65
  6. Step 6: Final answer
    x = 3,091.56

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1.5x scale

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.