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Finding the Fourth Proportional to 4,774.68, 7,157.79 and 3,897.18

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Solution

The fourth proportional to 4,774.68, 7,157.79 and 3,897.18 is: 5,842.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.68 : 7,157.79 = 3,897.18 : x
  2. Step 2: Convert to fraction form
    4,774.68/7,157.79 = 3,897.18/x
  3. Step 3: Cross multiply
    4,774.68x = 7,157.79 × 3,897.18
  4. Step 4: Simplify right side
    4,774.68x = 27,895,196.03
  5. Step 5: Solve for x
    x = 27,895,196.03/4,774.68
  6. Step 6: Final answer
    x = 5,842.32

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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.