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Finding the Fourth Proportional to 4,399.76, 6,600.36 and 1,477.40

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Solution

The fourth proportional to 4,399.76, 6,600.36 and 1,477.40 is: 2,216.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,399.76 : 6,600.36 = 1,477.40 : x
  2. Step 2: Convert to fraction form
    4,399.76/6,600.36 = 1,477.40/x
  3. Step 3: Cross multiply
    4,399.76x = 6,600.36 × 1,477.40
  4. Step 4: Simplify right side
    4,399.76x = 9,751,371.86
  5. Step 5: Solve for x
    x = 9,751,371.86/4,399.76
  6. Step 6: Final answer
    x = 2,216.34

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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.