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Finding the Fourth Proportional to 5,047.24, 6,966.30 and 2,924.23

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Solution

The fourth proportional to 5,047.24, 6,966.30 and 2,924.23 is: 4,036.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.24 : 6,966.30 = 2,924.23 : x
  2. Step 2: Convert to fraction form
    5,047.24/6,966.30 = 2,924.23/x
  3. Step 3: Cross multiply
    5,047.24x = 6,966.30 × 2,924.23
  4. Step 4: Simplify right side
    5,047.24x = 20,371,063.45
  5. Step 5: Solve for x
    x = 20,371,063.45/5,047.24
  6. Step 6: Final answer
    x = 4,036.08

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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.