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Finding the Fourth Proportional to 6,585.96, 9,088.42 and 3,791.40

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Solution

The fourth proportional to 6,585.96, 9,088.42 and 3,791.40 is: 5,232.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585.96 : 9,088.42 = 3,791.40 : x
  2. Step 2: Convert to fraction form
    6,585.96/9,088.42 = 3,791.40/x
  3. Step 3: Cross multiply
    6,585.96x = 9,088.42 × 3,791.40
  4. Step 4: Simplify right side
    6,585.96x = 34,457,835.59
  5. Step 5: Solve for x
    x = 34,457,835.59/6,585.96
  6. Step 6: Final answer
    x = 5,232.01

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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.