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Finding the Fourth Proportional to 6,002.82, 8,282.56 and 3,483.46

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Solution

The fourth proportional to 6,002.82, 8,282.56 and 3,483.46 is: 4,806.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.82 : 8,282.56 = 3,483.46 : x
  2. Step 2: Convert to fraction form
    6,002.82/8,282.56 = 3,483.46/x
  3. Step 3: Cross multiply
    6,002.82x = 8,282.56 × 3,483.46
  4. Step 4: Simplify right side
    6,002.82x = 28,851,966.46
  5. Step 5: Solve for x
    x = 28,851,966.46/6,002.82
  6. Step 6: Final answer
    x = 4,806.40

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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.