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Finding the Fourth Proportional to 4,774.80, 7,167.06 and 3,316.80

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Solution

The fourth proportional to 4,774.80, 7,167.06 and 3,316.80 is: 4,978.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.80 : 7,167.06 = 3,316.80 : x
  2. Step 2: Convert to fraction form
    4,774.80/7,167.06 = 3,316.80/x
  3. Step 3: Cross multiply
    4,774.80x = 7,167.06 × 3,316.80
  4. Step 4: Simplify right side
    4,774.80x = 23,771,704.61
  5. Step 5: Solve for x
    x = 23,771,704.61/4,774.80
  6. Step 6: Final answer
    x = 4,978.58

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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.