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Finding the Fourth Proportional to 3,297.40, 4,938.90 and 3,225.40

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Solution

The fourth proportional to 3,297.40, 4,938.90 and 3,225.40 is: 4,831.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.40 : 4,938.90 = 3,225.40 : x
  2. Step 2: Convert to fraction form
    3,297.40/4,938.90 = 3,225.40/x
  3. Step 3: Cross multiply
    3,297.40x = 4,938.90 × 3,225.40
  4. Step 4: Simplify right side
    3,297.40x = 15,929,928.06
  5. Step 5: Solve for x
    x = 15,929,928.06/3,297.40
  6. Step 6: Final answer
    x = 4,831.06

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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.