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Finding the Fourth Proportional to 6,267.79, 8,649.54 and 3,750

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Solution

The fourth proportional to 6,267.79, 8,649.54 and 3,750 is: 5,175.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,267.79 : 8,649.54 = 3,750 : x
  2. Step 2: Convert to fraction form
    6,267.79/8,649.54 = 3,750/x
  3. Step 3: Cross multiply
    6,267.79x = 8,649.54 × 3,750
  4. Step 4: Simplify right side
    6,267.79x = 32,435,775.00
  5. Step 5: Solve for x
    x = 32,435,775.00/6,267.79
  6. Step 6: Final answer
    x = 5,175.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.