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Finding the Fourth Proportional to 3,415.08, 4,713.76 and 1,999.07

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Solution

The fourth proportional to 3,415.08, 4,713.76 and 1,999.07 is: 2,759.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.08 : 4,713.76 = 1,999.07 : x
  2. Step 2: Convert to fraction form
    3,415.08/4,713.76 = 1,999.07/x
  3. Step 3: Cross multiply
    3,415.08x = 4,713.76 × 1,999.07
  4. Step 4: Simplify right side
    3,415.08x = 9,423,136.20
  5. Step 5: Solve for x
    x = 9,423,136.20/3,415.08
  6. Step 6: Final answer
    x = 2,759.27

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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.