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Finding the Fourth Proportional to 5,689.10, 7,850.94 and 3,330.77

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Solution

The fourth proportional to 5,689.10, 7,850.94 and 3,330.77 is: 4,596.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.10 : 7,850.94 = 3,330.77 : x
  2. Step 2: Convert to fraction form
    5,689.10/7,850.94 = 3,330.77/x
  3. Step 3: Cross multiply
    5,689.10x = 7,850.94 × 3,330.77
  4. Step 4: Simplify right side
    5,689.10x = 26,149,675.42
  5. Step 5: Solve for x
    x = 26,149,675.42/5,689.10
  6. Step 6: Final answer
    x = 4,596.45

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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.