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Finding the Fourth Proportional to 6,160.94, 8,502.71 and 3,643.86

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Solution

The fourth proportional to 6,160.94, 8,502.71 and 3,643.86 is: 5,028.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,160.94 : 8,502.71 = 3,643.86 : x
  2. Step 2: Convert to fraction form
    6,160.94/8,502.71 = 3,643.86/x
  3. Step 3: Cross multiply
    6,160.94x = 8,502.71 × 3,643.86
  4. Step 4: Simplify right side
    6,160.94x = 30,982,666.64
  5. Step 5: Solve for x
    x = 30,982,666.64/6,160.94
  6. Step 6: Final answer
    x = 5,028.89

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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.