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Finding the Fourth Proportional to 6,577.42, 9,078.87 and 4,588.66

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Solution

The fourth proportional to 6,577.42, 9,078.87 and 4,588.66 is: 6,333.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,577.42 : 9,078.87 = 4,588.66 : x
  2. Step 2: Convert to fraction form
    6,577.42/9,078.87 = 4,588.66/x
  3. Step 3: Cross multiply
    6,577.42x = 9,078.87 × 4,588.66
  4. Step 4: Simplify right side
    6,577.42x = 41,659,847.61
  5. Step 5: Solve for x
    x = 41,659,847.61/6,577.42
  6. Step 6: Final answer
    x = 6,333.77

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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.