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Finding the Fourth Proportional to 4,430.54, 6,632.93 and 2,576

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Solution

The fourth proportional to 4,430.54, 6,632.93 and 2,576 is: 3,856.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,430.54 : 6,632.93 = 2,576 : x
  2. Step 2: Convert to fraction form
    4,430.54/6,632.93 = 2,576/x
  3. Step 3: Cross multiply
    4,430.54x = 6,632.93 × 2,576
  4. Step 4: Simplify right side
    4,430.54x = 17,086,427.68
  5. Step 5: Solve for x
    x = 17,086,427.68/4,430.54
  6. Step 6: Final answer
    x = 3,856.51

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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.