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Finding the Fourth Proportional to 5,047.14, 6,964.23 and 2,808.95

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Solution

The fourth proportional to 5,047.14, 6,964.23 and 2,808.95 is: 3,875.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.14 : 6,964.23 = 2,808.95 : x
  2. Step 2: Convert to fraction form
    5,047.14/6,964.23 = 2,808.95/x
  3. Step 3: Cross multiply
    5,047.14x = 6,964.23 × 2,808.95
  4. Step 4: Simplify right side
    5,047.14x = 19,562,192.53
  5. Step 5: Solve for x
    x = 19,562,192.53/5,047.14
  6. Step 6: Final answer
    x = 3,875.90

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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.