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Finding the Fourth Proportional to 5,462.82, 7,535.94 and 3,574.98

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Solution

The fourth proportional to 5,462.82, 7,535.94 and 3,574.98 is: 4,931.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.82 : 7,535.94 = 3,574.98 : x
  2. Step 2: Convert to fraction form
    5,462.82/7,535.94 = 3,574.98/x
  3. Step 3: Cross multiply
    5,462.82x = 7,535.94 × 3,574.98
  4. Step 4: Simplify right side
    5,462.82x = 26,940,834.78
  5. Step 5: Solve for x
    x = 26,940,834.78/5,462.82
  6. Step 6: Final answer
    x = 4,931.67

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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.