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Finding the Fourth Proportional to 4,071.36, 6,129.12 and 3,648

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Solution

The fourth proportional to 4,071.36, 6,129.12 and 3,648 is: 5,491.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,071.36 : 6,129.12 = 3,648 : x
  2. Step 2: Convert to fraction form
    4,071.36/6,129.12 = 3,648/x
  3. Step 3: Cross multiply
    4,071.36x = 6,129.12 × 3,648
  4. Step 4: Simplify right side
    4,071.36x = 22,359,029.76
  5. Step 5: Solve for x
    x = 22,359,029.76/4,071.36
  6. Step 6: Final answer
    x = 5,491.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.