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Finding the Fourth Proportional to 4,691.46, 7,038.23 and 1,769.79

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Solution

The fourth proportional to 4,691.46, 7,038.23 and 1,769.79 is: 2,655.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,691.46 : 7,038.23 = 1,769.79 : x
  2. Step 2: Convert to fraction form
    4,691.46/7,038.23 = 1,769.79/x
  3. Step 3: Cross multiply
    4,691.46x = 7,038.23 × 1,769.79
  4. Step 4: Simplify right side
    4,691.46x = 12,456,145.03
  5. Step 5: Solve for x
    x = 12,456,145.03/4,691.46
  6. Step 6: Final answer
    x = 2,655.07

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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.