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Finding the Fourth Proportional to 3,480.76, 5,214.25 and 2,094.45

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Solution

The fourth proportional to 3,480.76, 5,214.25 and 2,094.45 is: 3,137.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,480.76 : 5,214.25 = 2,094.45 : x
  2. Step 2: Convert to fraction form
    3,480.76/5,214.25 = 2,094.45/x
  3. Step 3: Cross multiply
    3,480.76x = 5,214.25 × 2,094.45
  4. Step 4: Simplify right side
    3,480.76x = 10,920,985.91
  5. Step 5: Solve for x
    x = 10,920,985.91/3,480.76
  6. Step 6: Final answer
    x = 3,137.53

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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.