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Finding the Fourth Proportional to 3,397.34, 4,688.73 and 2,071.23

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Solution

The fourth proportional to 3,397.34, 4,688.73 and 2,071.23 is: 2,858.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.34 : 4,688.73 = 2,071.23 : x
  2. Step 2: Convert to fraction form
    3,397.34/4,688.73 = 2,071.23/x
  3. Step 3: Cross multiply
    3,397.34x = 4,688.73 × 2,071.23
  4. Step 4: Simplify right side
    3,397.34x = 9,711,438.24
  5. Step 5: Solve for x
    x = 9,711,438.24/3,397.34
  6. Step 6: Final answer
    x = 2,858.55

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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.