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Finding the Fourth Proportional to 4,765.76, 6,577.36 and 2,670

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Solution

The fourth proportional to 4,765.76, 6,577.36 and 2,670 is: 3,684.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765.76 : 6,577.36 = 2,670 : x
  2. Step 2: Convert to fraction form
    4,765.76/6,577.36 = 2,670/x
  3. Step 3: Cross multiply
    4,765.76x = 6,577.36 × 2,670
  4. Step 4: Simplify right side
    4,765.76x = 17,561,551.20
  5. Step 5: Solve for x
    x = 17,561,551.20/4,765.76
  6. Step 6: Final answer
    x = 3,684.94

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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.