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Finding the Fourth Proportional to 5,121, 7,682.76 and 1,658.34

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Solution

The fourth proportional to 5,121, 7,682.76 and 1,658.34 is: 2,487.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,121 : 7,682.76 = 1,658.34 : x
  2. Step 2: Convert to fraction form
    5,121/7,682.76 = 1,658.34/x
  3. Step 3: Cross multiply
    5,121x = 7,682.76 × 1,658.34
  4. Step 4: Simplify right side
    5,121x = 12,740,628.22
  5. Step 5: Solve for x
    x = 12,740,628.22/5,121
  6. Step 6: Final answer
    x = 2,487.92

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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.