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Finding the Fourth Proportional to 6,217.54, 8,580.81 and 4,642.90

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Solution

The fourth proportional to 6,217.54, 8,580.81 and 4,642.90 is: 6,407.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,217.54 : 8,580.81 = 4,642.90 : x
  2. Step 2: Convert to fraction form
    6,217.54/8,580.81 = 4,642.90/x
  3. Step 3: Cross multiply
    6,217.54x = 8,580.81 × 4,642.90
  4. Step 4: Simplify right side
    6,217.54x = 39,839,842.75
  5. Step 5: Solve for x
    x = 39,839,842.75/6,217.54
  6. Step 6: Final answer
    x = 6,407.65

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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.