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Finding the Fourth Proportional to 5,674.41, 7,830.87 and 3,436.71

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Solution

The fourth proportional to 5,674.41, 7,830.87 and 3,436.71 is: 4,742.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.41 : 7,830.87 = 3,436.71 : x
  2. Step 2: Convert to fraction form
    5,674.41/7,830.87 = 3,436.71/x
  3. Step 3: Cross multiply
    5,674.41x = 7,830.87 × 3,436.71
  4. Step 4: Simplify right side
    5,674.41x = 26,912,429.24
  5. Step 5: Solve for x
    x = 26,912,429.24/5,674.41
  6. Step 6: Final answer
    x = 4,742.77

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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.