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Finding the Fourth Proportional to 4,694.78, 7,045.84 and 2,064.10

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Solution

The fourth proportional to 4,694.78, 7,045.84 and 2,064.10 is: 3,097.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.78 : 7,045.84 = 2,064.10 : x
  2. Step 2: Convert to fraction form
    4,694.78/7,045.84 = 2,064.10/x
  3. Step 3: Cross multiply
    4,694.78x = 7,045.84 × 2,064.10
  4. Step 4: Simplify right side
    4,694.78x = 14,543,308.02
  5. Step 5: Solve for x
    x = 14,543,308.02/4,694.78
  6. Step 6: Final answer
    x = 3,097.76

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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.