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Finding the Fourth Proportional to 5,682.32, 7,834.88 and 3,890.66

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Solution

The fourth proportional to 5,682.32, 7,834.88 and 3,890.66 is: 5,364.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.32 : 7,834.88 = 3,890.66 : x
  2. Step 2: Convert to fraction form
    5,682.32/7,834.88 = 3,890.66/x
  3. Step 3: Cross multiply
    5,682.32x = 7,834.88 × 3,890.66
  4. Step 4: Simplify right side
    5,682.32x = 30,482,854.22
  5. Step 5: Solve for x
    x = 30,482,854.22/5,682.32
  6. Step 6: Final answer
    x = 5,364.51

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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.