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Finding the Fourth Proportional to 4,993.42, 6,889.69 and 3,052.64

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Solution

The fourth proportional to 4,993.42, 6,889.69 and 3,052.64 is: 4,211.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,993.42 : 6,889.69 = 3,052.64 : x
  2. Step 2: Convert to fraction form
    4,993.42/6,889.69 = 3,052.64/x
  3. Step 3: Cross multiply
    4,993.42x = 6,889.69 × 3,052.64
  4. Step 4: Simplify right side
    4,993.42x = 21,031,721.26
  5. Step 5: Solve for x
    x = 21,031,721.26/4,993.42
  6. Step 6: Final answer
    x = 4,211.89

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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.