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Finding the Fourth Proportional to 4,774.09, 7,159.91 and 1,485.49

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Solution

The fourth proportional to 4,774.09, 7,159.91 and 1,485.49 is: 2,227.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.09 : 7,159.91 = 1,485.49 : x
  2. Step 2: Convert to fraction form
    4,774.09/7,159.91 = 1,485.49/x
  3. Step 3: Cross multiply
    4,774.09x = 7,159.91 × 1,485.49
  4. Step 4: Simplify right side
    4,774.09x = 10,635,974.71
  5. Step 5: Solve for x
    x = 10,635,974.71/4,774.09
  6. Step 6: Final answer
    x = 2,227.85

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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.