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Finding the Fourth Proportional to 4,774.40, 6,592.08 and 3,096.80

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Solution

The fourth proportional to 4,774.40, 6,592.08 and 3,096.80 is: 4,275.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.40 : 6,592.08 = 3,096.80 : x
  2. Step 2: Convert to fraction form
    4,774.40/6,592.08 = 3,096.80/x
  3. Step 3: Cross multiply
    4,774.40x = 6,592.08 × 3,096.80
  4. Step 4: Simplify right side
    4,774.40x = 20,414,353.34
  5. Step 5: Solve for x
    x = 20,414,353.34/4,774.40
  6. Step 6: Final answer
    x = 4,275.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.