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Finding the Fourth Proportional to 4,731.86, 7,097.87 and 3,852.18

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Solution

The fourth proportional to 4,731.86, 7,097.87 and 3,852.18 is: 5,778.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,731.86 : 7,097.87 = 3,852.18 : x
  2. Step 2: Convert to fraction form
    4,731.86/7,097.87 = 3,852.18/x
  3. Step 3: Cross multiply
    4,731.86x = 7,097.87 × 3,852.18
  4. Step 4: Simplify right side
    4,731.86x = 27,342,253.60
  5. Step 5: Solve for x
    x = 27,342,253.60/4,731.86
  6. Step 6: Final answer
    x = 5,778.33

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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.