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Finding the Fourth Proportional to 5,695.58, 7,855.66 and 4,182.67

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Solution

The fourth proportional to 5,695.58, 7,855.66 and 4,182.67 is: 5,768.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.58 : 7,855.66 = 4,182.67 : x
  2. Step 2: Convert to fraction form
    5,695.58/7,855.66 = 4,182.67/x
  3. Step 3: Cross multiply
    5,695.58x = 7,855.66 × 4,182.67
  4. Step 4: Simplify right side
    5,695.58x = 32,857,596.43
  5. Step 5: Solve for x
    x = 32,857,596.43/5,695.58
  6. Step 6: Final answer
    x = 5,768.96

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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.