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Finding the Fourth Proportional to 4,162.03, 5,740.80 and 3,276.30

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Solution

The fourth proportional to 4,162.03, 5,740.80 and 3,276.30 is: 4,519.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162.03 : 5,740.80 = 3,276.30 : x
  2. Step 2: Convert to fraction form
    4,162.03/5,740.80 = 3,276.30/x
  3. Step 3: Cross multiply
    4,162.03x = 5,740.80 × 3,276.30
  4. Step 4: Simplify right side
    4,162.03x = 18,808,569.20
  5. Step 5: Solve for x
    x = 18,808,569.20/4,162.03
  6. Step 6: Final answer
    x = 4,519.08

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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.