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Finding the Fourth Proportional to 6,242.84, 8,615.24 and 3,410.32

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Solution

The fourth proportional to 6,242.84, 8,615.24 and 3,410.32 is: 4,706.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,242.84 : 8,615.24 = 3,410.32 : x
  2. Step 2: Convert to fraction form
    6,242.84/8,615.24 = 3,410.32/x
  3. Step 3: Cross multiply
    6,242.84x = 8,615.24 × 3,410.32
  4. Step 4: Simplify right side
    6,242.84x = 29,380,725.28
  5. Step 5: Solve for x
    x = 29,380,725.28/6,242.84
  6. Step 6: Final answer
    x = 4,706.31

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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.