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Finding the Fourth Proportional to 3,967.36, 5,950.80 and 1,658.88

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Solution

The fourth proportional to 3,967.36, 5,950.80 and 1,658.88 is: 2,488.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.36 : 5,950.80 = 1,658.88 : x
  2. Step 2: Convert to fraction form
    3,967.36/5,950.80 = 1,658.88/x
  3. Step 3: Cross multiply
    3,967.36x = 5,950.80 × 1,658.88
  4. Step 4: Simplify right side
    3,967.36x = 9,871,663.10
  5. Step 5: Solve for x
    x = 9,871,663.10/3,967.36
  6. Step 6: Final answer
    x = 2,488.22

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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.