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Finding the Fourth Proportional to 5,129.10, 7,679.64 and 2,658.69

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Solution

The fourth proportional to 5,129.10, 7,679.64 and 2,658.69 is: 3,980.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,129.10 : 7,679.64 = 2,658.69 : x
  2. Step 2: Convert to fraction form
    5,129.10/7,679.64 = 2,658.69/x
  3. Step 3: Cross multiply
    5,129.10x = 7,679.64 × 2,658.69
  4. Step 4: Simplify right side
    5,129.10x = 20,417,782.07
  5. Step 5: Solve for x
    x = 20,417,782.07/5,129.10
  6. Step 6: Final answer
    x = 3,980.77

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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.