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Finding the Fourth Proportional to 4,776.96, 6,593.28 and 3,120

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Solution

The fourth proportional to 4,776.96, 6,593.28 and 3,120 is: 4,306.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.96 : 6,593.28 = 3,120 : x
  2. Step 2: Convert to fraction form
    4,776.96/6,593.28 = 3,120/x
  3. Step 3: Cross multiply
    4,776.96x = 6,593.28 × 3,120
  4. Step 4: Simplify right side
    4,776.96x = 20,571,033.60
  5. Step 5: Solve for x
    x = 20,571,033.60/4,776.96
  6. Step 6: Final answer
    x = 4,306.30

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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.