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Finding the Fourth Proportional to 3,467.76, 4,785.93 and 2,291.28

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Solution

The fourth proportional to 3,467.76, 4,785.93 and 2,291.28 is: 3,162.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.76 : 4,785.93 = 2,291.28 : x
  2. Step 2: Convert to fraction form
    3,467.76/4,785.93 = 2,291.28/x
  3. Step 3: Cross multiply
    3,467.76x = 4,785.93 × 2,291.28
  4. Step 4: Simplify right side
    3,467.76x = 10,965,905.69
  5. Step 5: Solve for x
    x = 10,965,905.69/3,467.76
  6. Step 6: Final answer
    x = 3,162.24

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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.