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Finding the Fourth Proportional to 3,497.70, 5,223.53 and 3,036.90

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Solution

The fourth proportional to 3,497.70, 5,223.53 and 3,036.90 is: 4,535.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.70 : 5,223.53 = 3,036.90 : x
  2. Step 2: Convert to fraction form
    3,497.70/5,223.53 = 3,036.90/x
  3. Step 3: Cross multiply
    3,497.70x = 5,223.53 × 3,036.90
  4. Step 4: Simplify right side
    3,497.70x = 15,863,338.26
  5. Step 5: Solve for x
    x = 15,863,338.26/3,497.70
  6. Step 6: Final answer
    x = 4,535.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.