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Finding the Fourth Proportional to 5,506.23, 7,601.40 and 3,411.57

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Solution

The fourth proportional to 5,506.23, 7,601.40 and 3,411.57 is: 4,709.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,506.23 : 7,601.40 = 3,411.57 : x
  2. Step 2: Convert to fraction form
    5,506.23/7,601.40 = 3,411.57/x
  3. Step 3: Cross multiply
    5,506.23x = 7,601.40 × 3,411.57
  4. Step 4: Simplify right side
    5,506.23x = 25,932,708.20
  5. Step 5: Solve for x
    x = 25,932,708.20/5,506.23
  6. Step 6: Final answer
    x = 4,709.70

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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.