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Finding the Fourth Proportional to 3,497.55, 5,250.78 and 3,007.10

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Solution

The fourth proportional to 3,497.55, 5,250.78 and 3,007.10 is: 4,514.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.55 : 5,250.78 = 3,007.10 : x
  2. Step 2: Convert to fraction form
    3,497.55/5,250.78 = 3,007.10/x
  3. Step 3: Cross multiply
    3,497.55x = 5,250.78 × 3,007.10
  4. Step 4: Simplify right side
    3,497.55x = 15,789,594.28
  5. Step 5: Solve for x
    x = 15,789,594.28/3,497.55
  6. Step 6: Final answer
    x = 4,514.47

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1.5x scale

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.