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Finding the Fourth Proportional to 3,460.68, 5,191.90 and 995.45

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Solution

The fourth proportional to 3,460.68, 5,191.90 and 995.45 is: 1,493.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.68 : 5,191.90 = 995.45 : x
  2. Step 2: Convert to fraction form
    3,460.68/5,191.90 = 995.45/x
  3. Step 3: Cross multiply
    3,460.68x = 5,191.90 × 995.45
  4. Step 4: Simplify right side
    3,460.68x = 5,168,248.41
  5. Step 5: Solve for x
    x = 5,168,248.41/3,460.68
  6. Step 6: Final answer
    x = 1,493.42

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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.