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Finding the Fourth Proportional to 6,561.75, 9,059.32 and 4,208.00

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Solution

The fourth proportional to 6,561.75, 9,059.32 and 4,208.00 is: 5,809.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561.75 : 9,059.32 = 4,208.00 : x
  2. Step 2: Convert to fraction form
    6,561.75/9,059.32 = 4,208.00/x
  3. Step 3: Cross multiply
    6,561.75x = 9,059.32 × 4,208.00
  4. Step 4: Simplify right side
    6,561.75x = 38,121,562.74
  5. Step 5: Solve for x
    x = 38,121,562.74/6,561.75
  6. Step 6: Final answer
    x = 5,809.66

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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.