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Finding the Fourth Proportional to 5,121, 7,682.58 and 1,658.52

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Solution

The fourth proportional to 5,121, 7,682.58 and 1,658.52 is: 2,488.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,121 : 7,682.58 = 1,658.52 : x
  2. Step 2: Convert to fraction form
    5,121/7,682.58 = 1,658.52/x
  3. Step 3: Cross multiply
    5,121x = 7,682.58 × 1,658.52
  4. Step 4: Simplify right side
    5,121x = 12,741,712.58
  5. Step 5: Solve for x
    x = 12,741,712.58/5,121
  6. Step 6: Final answer
    x = 2,488.13

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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.