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Finding the Fourth Proportional to 5,374.17, 8,064.09 and 2,776.50

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Solution

The fourth proportional to 5,374.17, 8,064.09 and 2,776.50 is: 4,166.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,374.17 : 8,064.09 = 2,776.50 : x
  2. Step 2: Convert to fraction form
    5,374.17/8,064.09 = 2,776.50/x
  3. Step 3: Cross multiply
    5,374.17x = 8,064.09 × 2,776.50
  4. Step 4: Simplify right side
    5,374.17x = 22,389,945.89
  5. Step 5: Solve for x
    x = 22,389,945.89/5,374.17
  6. Step 6: Final answer
    x = 4,166.21

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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.