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Finding the Fourth Proportional to 5,660.58, 7,810.02 and 3,538.27

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Solution

The fourth proportional to 5,660.58, 7,810.02 and 3,538.27 is: 4,881.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,660.58 : 7,810.02 = 3,538.27 : x
  2. Step 2: Convert to fraction form
    5,660.58/7,810.02 = 3,538.27/x
  3. Step 3: Cross multiply
    5,660.58x = 7,810.02 × 3,538.27
  4. Step 4: Simplify right side
    5,660.58x = 27,633,961.91
  5. Step 5: Solve for x
    x = 27,633,961.91/5,660.58
  6. Step 6: Final answer
    x = 4,881.83

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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.