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Finding the Fourth Proportional to 5,695.11, 7,857.54 and 3,336.66

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Solution

The fourth proportional to 5,695.11, 7,857.54 and 3,336.66 is: 4,603.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.11 : 7,857.54 = 3,336.66 : x
  2. Step 2: Convert to fraction form
    5,695.11/7,857.54 = 3,336.66/x
  3. Step 3: Cross multiply
    5,695.11x = 7,857.54 × 3,336.66
  4. Step 4: Simplify right side
    5,695.11x = 26,217,939.42
  5. Step 5: Solve for x
    x = 26,217,939.42/5,695.11
  6. Step 6: Final answer
    x = 4,603.59

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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.