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Finding the Fourth Proportional to 5,674.32, 7,830.87 and 3,317.82

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Solution

The fourth proportional to 5,674.32, 7,830.87 and 3,317.82 is: 4,578.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.32 : 7,830.87 = 3,317.82 : x
  2. Step 2: Convert to fraction form
    5,674.32/7,830.87 = 3,317.82/x
  3. Step 3: Cross multiply
    5,674.32x = 7,830.87 × 3,317.82
  4. Step 4: Simplify right side
    5,674.32x = 25,981,417.10
  5. Step 5: Solve for x
    x = 25,981,417.10/5,674.32
  6. Step 6: Final answer
    x = 4,578.77

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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.