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Finding the Fourth Proportional to 6,242.85, 8,615.07 and 3,410.16

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Solution

The fourth proportional to 6,242.85, 8,615.07 and 3,410.16 is: 4,705.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,242.85 : 8,615.07 = 3,410.16 : x
  2. Step 2: Convert to fraction form
    6,242.85/8,615.07 = 3,410.16/x
  3. Step 3: Cross multiply
    6,242.85x = 8,615.07 × 3,410.16
  4. Step 4: Simplify right side
    6,242.85x = 29,378,767.11
  5. Step 5: Solve for x
    x = 29,378,767.11/6,242.85
  6. Step 6: Final answer
    x = 4,705.99

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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.