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Finding the Fourth Proportional to 4,536.28, 6,819.80 and 3,574

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Solution

The fourth proportional to 4,536.28, 6,819.80 and 3,574 is: 5,373.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,536.28 : 6,819.80 = 3,574 : x
  2. Step 2: Convert to fraction form
    4,536.28/6,819.80 = 3,574/x
  3. Step 3: Cross multiply
    4,536.28x = 6,819.80 × 3,574
  4. Step 4: Simplify right side
    4,536.28x = 24,373,965.20
  5. Step 5: Solve for x
    x = 24,373,965.20/4,536.28
  6. Step 6: Final answer
    x = 5,373.12

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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.