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Finding the Fourth Proportional to 5,695.91, 7,858.52 and 3,177.62

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Solution

The fourth proportional to 5,695.91, 7,858.52 and 3,177.62 is: 4,384.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.91 : 7,858.52 = 3,177.62 : x
  2. Step 2: Convert to fraction form
    5,695.91/7,858.52 = 3,177.62/x
  3. Step 3: Cross multiply
    5,695.91x = 7,858.52 × 3,177.62
  4. Step 4: Simplify right side
    5,695.91x = 24,971,390.32
  5. Step 5: Solve for x
    x = 24,971,390.32/5,695.91
  6. Step 6: Final answer
    x = 4,384.09

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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.