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Finding the Fourth Proportional to 5,605.89, 7,680.10 and 5,395.69

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Solution

The fourth proportional to 5,605.89, 7,680.10 and 5,395.69 is: 7,392.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605.89 : 7,680.10 = 5,395.69 : x
  2. Step 2: Convert to fraction form
    5,605.89/7,680.10 = 5,395.69/x
  3. Step 3: Cross multiply
    5,605.89x = 7,680.10 × 5,395.69
  4. Step 4: Simplify right side
    5,605.89x = 41,439,438.77
  5. Step 5: Solve for x
    x = 41,439,438.77/5,605.89
  6. Step 6: Final answer
    x = 7,392.13

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.