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Finding the Fourth Proportional to 4,712.28, 7,071.80 and 3,798.87

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Solution

The fourth proportional to 4,712.28, 7,071.80 and 3,798.87 is: 5,701.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712.28 : 7,071.80 = 3,798.87 : x
  2. Step 2: Convert to fraction form
    4,712.28/7,071.80 = 3,798.87/x
  3. Step 3: Cross multiply
    4,712.28x = 7,071.80 × 3,798.87
  4. Step 4: Simplify right side
    4,712.28x = 26,864,829.87
  5. Step 5: Solve for x
    x = 26,864,829.87/4,712.28
  6. Step 6: Final answer
    x = 5,701.03

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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.