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Finding the Fourth Proportional to 3,187.20, 4,779.15 and 995.34

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Solution

The fourth proportional to 3,187.20, 4,779.15 and 995.34 is: 1,492.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187.20 : 4,779.15 = 995.34 : x
  2. Step 2: Convert to fraction form
    3,187.20/4,779.15 = 995.34/x
  3. Step 3: Cross multiply
    3,187.20x = 4,779.15 × 995.34
  4. Step 4: Simplify right side
    3,187.20x = 4,756,879.16
  5. Step 5: Solve for x
    x = 4,756,879.16/3,187.20
  6. Step 6: Final answer
    x = 1,492.49

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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.