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Finding the Fourth Proportional to 3,635.92, 5,014.49 and 3,071.53

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Solution

The fourth proportional to 3,635.92, 5,014.49 and 3,071.53 is: 4,236.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,635.92 : 5,014.49 = 3,071.53 : x
  2. Step 2: Convert to fraction form
    3,635.92/5,014.49 = 3,071.53/x
  3. Step 3: Cross multiply
    3,635.92x = 5,014.49 × 3,071.53
  4. Step 4: Simplify right side
    3,635.92x = 15,402,150.55
  5. Step 5: Solve for x
    x = 15,402,150.55/3,635.92
  6. Step 6: Final answer
    x = 4,236.11

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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.