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Finding the Fourth Proportional to 5,338.24, 7,361.22 and 3,853.24

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Solution

The fourth proportional to 5,338.24, 7,361.22 and 3,853.24 is: 5,313.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338.24 : 7,361.22 = 3,853.24 : x
  2. Step 2: Convert to fraction form
    5,338.24/7,361.22 = 3,853.24/x
  3. Step 3: Cross multiply
    5,338.24x = 7,361.22 × 3,853.24
  4. Step 4: Simplify right side
    5,338.24x = 28,364,547.35
  5. Step 5: Solve for x
    x = 28,364,547.35/5,338.24
  6. Step 6: Final answer
    x = 5,313.46

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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.