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Finding the Fourth Proportional to 3,460.34, 5,190.37 and 995.15

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Solution

The fourth proportional to 3,460.34, 5,190.37 and 995.15 is: 1,492.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.34 : 5,190.37 = 995.15 : x
  2. Step 2: Convert to fraction form
    3,460.34/5,190.37 = 995.15/x
  3. Step 3: Cross multiply
    3,460.34x = 5,190.37 × 995.15
  4. Step 4: Simplify right side
    3,460.34x = 5,165,196.71
  5. Step 5: Solve for x
    x = 5,165,196.71/3,460.34
  6. Step 6: Final answer
    x = 1,492.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.