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Finding the Fourth Proportional to 3,415.36, 4,713.14 and 2,000.02

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Solution

The fourth proportional to 3,415.36, 4,713.14 and 2,000.02 is: 2,759.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.36 : 4,713.14 = 2,000.02 : x
  2. Step 2: Convert to fraction form
    3,415.36/4,713.14 = 2,000.02/x
  3. Step 3: Cross multiply
    3,415.36x = 4,713.14 × 2,000.02
  4. Step 4: Simplify right side
    3,415.36x = 9,426,374.26
  5. Step 5: Solve for x
    x = 9,426,374.26/3,415.36
  6. Step 6: Final answer
    x = 2,759.99

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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.