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Finding the Fourth Proportional to 5,616.46, 8,423.50 and 1,667.75

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Solution

The fourth proportional to 5,616.46, 8,423.50 and 1,667.75 is: 2,501.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616.46 : 8,423.50 = 1,667.75 : x
  2. Step 2: Convert to fraction form
    5,616.46/8,423.50 = 1,667.75/x
  3. Step 3: Cross multiply
    5,616.46x = 8,423.50 × 1,667.75
  4. Step 4: Simplify right side
    5,616.46x = 14,048,292.13
  5. Step 5: Solve for x
    x = 14,048,292.13/5,616.46
  6. Step 6: Final answer
    x = 2,501.27

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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.