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Finding the Fourth Proportional to 5,665.62, 7,816.59 and 3,678.66

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Solution

The fourth proportional to 5,665.62, 7,816.59 and 3,678.66 is: 5,075.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.62 : 7,816.59 = 3,678.66 : x
  2. Step 2: Convert to fraction form
    5,665.62/7,816.59 = 3,678.66/x
  3. Step 3: Cross multiply
    5,665.62x = 7,816.59 × 3,678.66
  4. Step 4: Simplify right side
    5,665.62x = 28,754,576.97
  5. Step 5: Solve for x
    x = 28,754,576.97/5,665.62
  6. Step 6: Final answer
    x = 5,075.27

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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.