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Finding the Fourth Proportional to 5,476.50, 8,214.80 and 1,580.94

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Solution

The fourth proportional to 5,476.50, 8,214.80 and 1,580.94 is: 2,371.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,476.50 : 8,214.80 = 1,580.94 : x
  2. Step 2: Convert to fraction form
    5,476.50/8,214.80 = 1,580.94/x
  3. Step 3: Cross multiply
    5,476.50x = 8,214.80 × 1,580.94
  4. Step 4: Simplify right side
    5,476.50x = 12,987,098.01
  5. Step 5: Solve for x
    x = 12,987,098.01/5,476.50
  6. Step 6: Final answer
    x = 2,371.42

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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.