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Finding the Fourth Proportional to 4,711.68, 7,050.24 and 3,168

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Solution

The fourth proportional to 4,711.68, 7,050.24 and 3,168 is: 4,740.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711.68 : 7,050.24 = 3,168 : x
  2. Step 2: Convert to fraction form
    4,711.68/7,050.24 = 3,168/x
  3. Step 3: Cross multiply
    4,711.68x = 7,050.24 × 3,168
  4. Step 4: Simplify right side
    4,711.68x = 22,335,160.32
  5. Step 5: Solve for x
    x = 22,335,160.32/4,711.68
  6. Step 6: Final answer
    x = 4,740.38

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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.