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Finding the Fourth Proportional to 6,561.79, 9,055.46 and 3,577.82

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Solution

The fourth proportional to 6,561.79, 9,055.46 and 3,577.82 is: 4,937.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561.79 : 9,055.46 = 3,577.82 : x
  2. Step 2: Convert to fraction form
    6,561.79/9,055.46 = 3,577.82/x
  3. Step 3: Cross multiply
    6,561.79x = 9,055.46 × 3,577.82
  4. Step 4: Simplify right side
    6,561.79x = 32,398,742.73
  5. Step 5: Solve for x
    x = 32,398,742.73/6,561.79
  6. Step 6: Final answer
    x = 4,937.49

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