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Finding the Fourth Proportional to 3,460.85, 5,190.51 and 995.12

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Solution

The fourth proportional to 3,460.85, 5,190.51 and 995.12 is: 1,492.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.85 : 5,190.51 = 995.12 : x
  2. Step 2: Convert to fraction form
    3,460.85/5,190.51 = 995.12/x
  3. Step 3: Cross multiply
    3,460.85x = 5,190.51 × 995.12
  4. Step 4: Simplify right side
    3,460.85x = 5,165,180.31
  5. Step 5: Solve for x
    x = 5,165,180.31/3,460.85
  6. Step 6: Final answer
    x = 1,492.46

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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.