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Finding the Fourth Proportional to 4,071.89, 6,107.06 and 1,731.45

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Solution

The fourth proportional to 4,071.89, 6,107.06 and 1,731.45 is: 2,596.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,071.89 : 6,107.06 = 1,731.45 : x
  2. Step 2: Convert to fraction form
    4,071.89/6,107.06 = 1,731.45/x
  3. Step 3: Cross multiply
    4,071.89x = 6,107.06 × 1,731.45
  4. Step 4: Simplify right side
    4,071.89x = 10,574,060.38
  5. Step 5: Solve for x
    x = 10,574,060.38/4,071.89
  6. Step 6: Final answer
    x = 2,596.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.