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Finding the Fourth Proportional to 3,804.16, 5,249.60 and 2,148.16

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Solution

The fourth proportional to 3,804.16, 5,249.60 and 2,148.16 is: 2,964.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.16 : 5,249.60 = 2,148.16 : x
  2. Step 2: Convert to fraction form
    3,804.16/5,249.60 = 2,148.16/x
  3. Step 3: Cross multiply
    3,804.16x = 5,249.60 × 2,148.16
  4. Step 4: Simplify right side
    3,804.16x = 11,276,980.74
  5. Step 5: Solve for x
    x = 11,276,980.74/3,804.16
  6. Step 6: Final answer
    x = 2,964.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.