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Finding the Fourth Proportional to 5,667.62, 8,501.88 and 1,772

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Solution

The fourth proportional to 5,667.62, 8,501.88 and 1,772 is: 2,658.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667.62 : 8,501.88 = 1,772 : x
  2. Step 2: Convert to fraction form
    5,667.62/8,501.88 = 1,772/x
  3. Step 3: Cross multiply
    5,667.62x = 8,501.88 × 1,772
  4. Step 4: Simplify right side
    5,667.62x = 15,065,331.36
  5. Step 5: Solve for x
    x = 15,065,331.36/5,667.62
  6. Step 6: Final answer
    x = 2,658.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.