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Finding the Fourth Proportional to 5,557.64, 7,665.27 and 3,878.51

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Solution

The fourth proportional to 5,557.64, 7,665.27 and 3,878.51 is: 5,349.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,557.64 : 7,665.27 = 3,878.51 : x
  2. Step 2: Convert to fraction form
    5,557.64/7,665.27 = 3,878.51/x
  3. Step 3: Cross multiply
    5,557.64x = 7,665.27 × 3,878.51
  4. Step 4: Simplify right side
    5,557.64x = 29,729,826.35
  5. Step 5: Solve for x
    x = 29,729,826.35/5,557.64
  6. Step 6: Final answer
    x = 5,349.36

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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.