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Finding the Fourth Proportional to 4,047.80, 6,071 and 1,126.12

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Solution

The fourth proportional to 4,047.80, 6,071 and 1,126.12 is: 1,688.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,047.80 : 6,071 = 1,126.12 : x
  2. Step 2: Convert to fraction form
    4,047.80/6,071 = 1,126.12/x
  3. Step 3: Cross multiply
    4,047.80x = 6,071 × 1,126.12
  4. Step 4: Simplify right side
    4,047.80x = 6,836,674.52
  5. Step 5: Solve for x
    x = 6,836,674.52/4,047.80
  6. Step 6: Final answer
    x = 1,688.99

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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.