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Finding the Fourth Proportional to 5,789.14, 7,977.44 and 4,017.67

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Solution

The fourth proportional to 5,789.14, 7,977.44 and 4,017.67 is: 5,536.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,789.14 : 7,977.44 = 4,017.67 : x
  2. Step 2: Convert to fraction form
    5,789.14/7,977.44 = 4,017.67/x
  3. Step 3: Cross multiply
    5,789.14x = 7,977.44 × 4,017.67
  4. Step 4: Simplify right side
    5,789.14x = 32,050,711.47
  5. Step 5: Solve for x
    x = 32,050,711.47/5,789.14
  6. Step 6: Final answer
    x = 5,536.35

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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.