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Finding the Fourth Proportional to 5,773.65, 7,967.64 and 3,121.05

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Solution

The fourth proportional to 5,773.65, 7,967.64 and 3,121.05 is: 4,307.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,773.65 : 7,967.64 = 3,121.05 : x
  2. Step 2: Convert to fraction form
    5,773.65/7,967.64 = 3,121.05/x
  3. Step 3: Cross multiply
    5,773.65x = 7,967.64 × 3,121.05
  4. Step 4: Simplify right side
    5,773.65x = 24,867,402.82
  5. Step 5: Solve for x
    x = 24,867,402.82/5,773.65
  6. Step 6: Final answer
    x = 4,307.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.