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Finding the Fourth Proportional to 6,585.97, 9,089.47 and 3,754.36

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Solution

The fourth proportional to 6,585.97, 9,089.47 and 3,754.36 is: 5,181.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585.97 : 9,089.47 = 3,754.36 : x
  2. Step 2: Convert to fraction form
    6,585.97/9,089.47 = 3,754.36/x
  3. Step 3: Cross multiply
    6,585.97x = 9,089.47 × 3,754.36
  4. Step 4: Simplify right side
    6,585.97x = 34,125,142.59
  5. Step 5: Solve for x
    x = 34,125,142.59/6,585.97
  6. Step 6: Final answer
    x = 5,181.49

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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.