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Finding the Fourth Proportional to 4,897.65, 7,346.72 and 3,729.48

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Solution

The fourth proportional to 4,897.65, 7,346.72 and 3,729.48 is: 5,594.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897.65 : 7,346.72 = 3,729.48 : x
  2. Step 2: Convert to fraction form
    4,897.65/7,346.72 = 3,729.48/x
  3. Step 3: Cross multiply
    4,897.65x = 7,346.72 × 3,729.48
  4. Step 4: Simplify right side
    4,897.65x = 27,399,408.57
  5. Step 5: Solve for x
    x = 27,399,408.57/4,897.65
  6. Step 6: Final answer
    x = 5,594.40

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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.