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Finding the Fourth Proportional to 3,950.42, 5,925.74 and 1,317.96

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Solution

The fourth proportional to 3,950.42, 5,925.74 and 1,317.96 is: 1,976.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,950.42 : 5,925.74 = 1,317.96 : x
  2. Step 2: Convert to fraction form
    3,950.42/5,925.74 = 1,317.96/x
  3. Step 3: Cross multiply
    3,950.42x = 5,925.74 × 1,317.96
  4. Step 4: Simplify right side
    3,950.42x = 7,809,881.70
  5. Step 5: Solve for x
    x = 7,809,881.70/3,950.42
  6. Step 6: Final answer
    x = 1,976.98

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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.