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Finding the Fourth Proportional to 5,047.27, 6,966.26 and 2,952.07

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Solution

The fourth proportional to 5,047.27, 6,966.26 and 2,952.07 is: 4,074.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.27 : 6,966.26 = 2,952.07 : x
  2. Step 2: Convert to fraction form
    5,047.27/6,966.26 = 2,952.07/x
  3. Step 3: Cross multiply
    5,047.27x = 6,966.26 × 2,952.07
  4. Step 4: Simplify right side
    5,047.27x = 20,564,887.16
  5. Step 5: Solve for x
    x = 20,564,887.16/5,047.27
  6. Step 6: Final answer
    x = 4,074.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.