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Finding the Fourth Proportional to 5,146.57, 7,727.19 and 4,911.67

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Solution

The fourth proportional to 5,146.57, 7,727.19 and 4,911.67 is: 7,374.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.57 : 7,727.19 = 4,911.67 : x
  2. Step 2: Convert to fraction form
    5,146.57/7,727.19 = 4,911.67/x
  3. Step 3: Cross multiply
    5,146.57x = 7,727.19 × 4,911.67
  4. Step 4: Simplify right side
    5,146.57x = 37,953,407.31
  5. Step 5: Solve for x
    x = 37,953,407.31/5,146.57
  6. Step 6: Final answer
    x = 7,374.51

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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.