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Finding the Fourth Proportional to 6,588.47, 9,091.76 and 3,755.93

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Solution

The fourth proportional to 6,588.47, 9,091.76 and 3,755.93 is: 5,182.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,588.47 : 9,091.76 = 3,755.93 : x
  2. Step 2: Convert to fraction form
    6,588.47/9,091.76 = 3,755.93/x
  3. Step 3: Cross multiply
    6,588.47x = 9,091.76 × 3,755.93
  4. Step 4: Simplify right side
    6,588.47x = 34,147,949.90
  5. Step 5: Solve for x
    x = 34,147,949.90/6,588.47
  6. Step 6: Final answer
    x = 5,182.98

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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.