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Finding the Fourth Proportional to 5,048.82, 7,569.12 and 1,928.16

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Solution

The fourth proportional to 5,048.82, 7,569.12 and 1,928.16 is: 2,890.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,048.82 : 7,569.12 = 1,928.16 : x
  2. Step 2: Convert to fraction form
    5,048.82/7,569.12 = 1,928.16/x
  3. Step 3: Cross multiply
    5,048.82x = 7,569.12 × 1,928.16
  4. Step 4: Simplify right side
    5,048.82x = 14,594,474.42
  5. Step 5: Solve for x
    x = 14,594,474.42/5,048.82
  6. Step 6: Final answer
    x = 2,890.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.