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Finding the Fourth Proportional to 6,214.79, 8,577.02 and 4,640.15

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Solution

The fourth proportional to 6,214.79, 8,577.02 and 4,640.15 is: 6,403.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.79 : 8,577.02 = 4,640.15 : x
  2. Step 2: Convert to fraction form
    6,214.79/8,577.02 = 4,640.15/x
  3. Step 3: Cross multiply
    6,214.79x = 8,577.02 × 4,640.15
  4. Step 4: Simplify right side
    6,214.79x = 39,798,659.35
  5. Step 5: Solve for x
    x = 39,798,659.35/6,214.79
  6. Step 6: Final answer
    x = 6,403.86

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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.