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Finding the Fourth Proportional to 4,047.85, 6,071.27 and 1,126.38

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Solution

The fourth proportional to 4,047.85, 6,071.27 and 1,126.38 is: 1,689.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,047.85 : 6,071.27 = 1,126.38 : x
  2. Step 2: Convert to fraction form
    4,047.85/6,071.27 = 1,126.38/x
  3. Step 3: Cross multiply
    4,047.85x = 6,071.27 × 1,126.38
  4. Step 4: Simplify right side
    4,047.85x = 6,838,551.47
  5. Step 5: Solve for x
    x = 6,838,551.47/4,047.85
  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.