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Finding the Fourth Proportional to 5,666.84, 8,462.09 and 4,628.89

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Solution

The fourth proportional to 5,666.84, 8,462.09 and 4,628.89 is: 6,912.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.84 : 8,462.09 = 4,628.89 : x
  2. Step 2: Convert to fraction form
    5,666.84/8,462.09 = 4,628.89/x
  3. Step 3: Cross multiply
    5,666.84x = 8,462.09 × 4,628.89
  4. Step 4: Simplify right side
    5,666.84x = 39,170,105.93
  5. Step 5: Solve for x
    x = 39,170,105.93/5,666.84
  6. Step 6: Final answer
    x = 6,912.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.