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Finding the Fourth Proportional to 3,950.77, 5,924.16 and 1,317.34

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Solution

The fourth proportional to 3,950.77, 5,924.16 and 1,317.34 is: 1,975.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,950.77 : 5,924.16 = 1,317.34 : x
  2. Step 2: Convert to fraction form
    3,950.77/5,924.16 = 1,317.34/x
  3. Step 3: Cross multiply
    3,950.77x = 5,924.16 × 1,317.34
  4. Step 4: Simplify right side
    3,950.77x = 7,804,132.93
  5. Step 5: Solve for x
    x = 7,804,132.93/3,950.77
  6. Step 6: Final answer
    x = 1,975.34

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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.