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Finding the Fourth Proportional to 3,478.03, 4,798.05 and 3,343.80

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Solution

The fourth proportional to 3,478.03, 4,798.05 and 3,343.80 is: 4,612.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.03 : 4,798.05 = 3,343.80 : x
  2. Step 2: Convert to fraction form
    3,478.03/4,798.05 = 3,343.80/x
  3. Step 3: Cross multiply
    3,478.03x = 4,798.05 × 3,343.80
  4. Step 4: Simplify right side
    3,478.03x = 16,043,712.88
  5. Step 5: Solve for x
    x = 16,043,712.88/3,478.03
  6. Step 6: Final answer
    x = 4,612.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.