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Finding the Fourth Proportional to 4,712.64, 6,502.86 and 2,617.17

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Solution

The fourth proportional to 4,712.64, 6,502.86 and 2,617.17 is: 3,611.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712.64 : 6,502.86 = 2,617.17 : x
  2. Step 2: Convert to fraction form
    4,712.64/6,502.86 = 2,617.17/x
  3. Step 3: Cross multiply
    4,712.64x = 6,502.86 × 2,617.17
  4. Step 4: Simplify right side
    4,712.64x = 17,019,090.11
  5. Step 5: Solve for x
    x = 17,019,090.11/4,712.64
  6. Step 6: Final answer
    x = 3,611.37

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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.