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Finding the Fourth Proportional to 4,774.64, 7,164.40 and 2,177.24

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Solution

The fourth proportional to 4,774.64, 7,164.40 and 2,177.24 is: 3,266.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.64 : 7,164.40 = 2,177.24 : x
  2. Step 2: Convert to fraction form
    4,774.64/7,164.40 = 2,177.24/x
  3. Step 3: Cross multiply
    4,774.64x = 7,164.40 × 2,177.24
  4. Step 4: Simplify right side
    4,774.64x = 15,598,618.26
  5. Step 5: Solve for x
    x = 15,598,618.26/4,774.64
  6. Step 6: Final answer
    x = 3,266.97

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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.