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Finding the Fourth Proportional to 4,617.71, 6,365.69 and 3,673.86

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Solution

The fourth proportional to 4,617.71, 6,365.69 and 3,673.86 is: 5,064.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,617.71 : 6,365.69 = 3,673.86 : x
  2. Step 2: Convert to fraction form
    4,617.71/6,365.69 = 3,673.86/x
  3. Step 3: Cross multiply
    4,617.71x = 6,365.69 × 3,673.86
  4. Step 4: Simplify right side
    4,617.71x = 23,386,625.40
  5. Step 5: Solve for x
    x = 23,386,625.40/4,617.71
  6. Step 6: Final answer
    x = 5,064.55

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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.