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Finding the Fourth Proportional to 3,458.64, 4,772.97 and 1,886.82

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Solution

The fourth proportional to 3,458.64, 4,772.97 and 1,886.82 is: 2,603.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.64 : 4,772.97 = 1,886.82 : x
  2. Step 2: Convert to fraction form
    3,458.64/4,772.97 = 1,886.82/x
  3. Step 3: Cross multiply
    3,458.64x = 4,772.97 × 1,886.82
  4. Step 4: Simplify right side
    3,458.64x = 9,005,735.26
  5. Step 5: Solve for x
    x = 9,005,735.26/3,458.64
  6. Step 6: Final answer
    x = 2,603.84

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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.