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Finding the Fourth Proportional to 4,047.69, 6,071.85 and 1,126.23

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Solution

The fourth proportional to 4,047.69, 6,071.85 and 1,126.23 is: 1,689.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,047.69 : 6,071.85 = 1,126.23 : x
  2. Step 2: Convert to fraction form
    4,047.69/6,071.85 = 1,126.23/x
  3. Step 3: Cross multiply
    4,047.69x = 6,071.85 × 1,126.23
  4. Step 4: Simplify right side
    4,047.69x = 6,838,299.63
  5. Step 5: Solve for x
    x = 6,838,299.63/4,047.69
  6. Step 6: Final answer
    x = 1,689.43

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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.