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Finding the Fourth Proportional to 3,741.36, 5,162.04 and 2,415.12

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Solution

The fourth proportional to 3,741.36, 5,162.04 and 2,415.12 is: 3,332.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,741.36 : 5,162.04 = 2,415.12 : x
  2. Step 2: Convert to fraction form
    3,741.36/5,162.04 = 2,415.12/x
  3. Step 3: Cross multiply
    3,741.36x = 5,162.04 × 2,415.12
  4. Step 4: Simplify right side
    3,741.36x = 12,466,946.04
  5. Step 5: Solve for x
    x = 12,466,946.04/3,741.36
  6. Step 6: Final answer
    x = 3,332.20

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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.