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Finding the Fourth Proportional to 3,776.55, 5,663.01 and 1,584.69

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Solution

The fourth proportional to 3,776.55, 5,663.01 and 1,584.69 is: 2,376.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.55 : 5,663.01 = 1,584.69 : x
  2. Step 2: Convert to fraction form
    3,776.55/5,663.01 = 1,584.69/x
  3. Step 3: Cross multiply
    3,776.55x = 5,663.01 × 1,584.69
  4. Step 4: Simplify right side
    3,776.55x = 8,974,115.32
  5. Step 5: Solve for x
    x = 8,974,115.32/3,776.55
  6. Step 6: Final answer
    x = 2,376.27

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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.