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Finding the Fourth Proportional to 6,444, 8,892.66 and 3,649.50

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Solution

The fourth proportional to 6,444, 8,892.66 and 3,649.50 is: 5,036.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444 : 8,892.66 = 3,649.50 : x
  2. Step 2: Convert to fraction form
    6,444/8,892.66 = 3,649.50/x
  3. Step 3: Cross multiply
    6,444x = 8,892.66 × 3,649.50
  4. Step 4: Simplify right side
    6,444x = 32,453,762.67
  5. Step 5: Solve for x
    x = 32,453,762.67/6,444
  6. Step 6: Final answer
    x = 5,036.28

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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.