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Finding the Fourth Proportional to 5,666.62, 8,461.75 and 4,628.68

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Solution

The fourth proportional to 5,666.62, 8,461.75 and 4,628.68 is: 6,911.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.62 : 8,461.75 = 4,628.68 : x
  2. Step 2: Convert to fraction form
    5,666.62/8,461.75 = 4,628.68/x
  3. Step 3: Cross multiply
    5,666.62x = 8,461.75 × 4,628.68
  4. Step 4: Simplify right side
    5,666.62x = 39,166,667.54
  5. Step 5: Solve for x
    x = 39,166,667.54/5,666.62
  6. Step 6: Final answer
    x = 6,911.83

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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.