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Finding the Fourth Proportional to 5,106.66, 7,658.51 and 2,331.86

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Solution

The fourth proportional to 5,106.66, 7,658.51 and 2,331.86 is: 3,497.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,106.66 : 7,658.51 = 2,331.86 : x
  2. Step 2: Convert to fraction form
    5,106.66/7,658.51 = 2,331.86/x
  3. Step 3: Cross multiply
    5,106.66x = 7,658.51 × 2,331.86
  4. Step 4: Simplify right side
    5,106.66x = 17,858,573.13
  5. Step 5: Solve for x
    x = 17,858,573.13/5,106.66
  6. Step 6: Final answer
    x = 3,497.11

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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.