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Finding the Fourth Proportional to 4,071.34, 6,109.95 and 1,731.99

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Solution

The fourth proportional to 4,071.34, 6,109.95 and 1,731.99 is: 2,599.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,071.34 : 6,109.95 = 1,731.99 : x
  2. Step 2: Convert to fraction form
    4,071.34/6,109.95 = 1,731.99/x
  3. Step 3: Cross multiply
    4,071.34x = 6,109.95 × 1,731.99
  4. Step 4: Simplify right side
    4,071.34x = 10,582,374.78
  5. Step 5: Solve for x
    x = 10,582,374.78/4,071.34
  6. Step 6: Final answer
    x = 2,599.24

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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.