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Finding the Fourth Proportional to 3,415.50, 4,713.42 and 2,071.08

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Solution

The fourth proportional to 3,415.50, 4,713.42 and 2,071.08 is: 2,858.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.50 : 4,713.42 = 2,071.08 : x
  2. Step 2: Convert to fraction form
    3,415.50/4,713.42 = 2,071.08/x
  3. Step 3: Cross multiply
    3,415.50x = 4,713.42 × 2,071.08
  4. Step 4: Simplify right side
    3,415.50x = 9,761,869.89
  5. Step 5: Solve for x
    x = 9,761,869.89/3,415.50
  6. Step 6: Final answer
    x = 2,858.11

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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.