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Finding the Fourth Proportional to 4,289.66, 6,435.24 and 1,517.93

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Solution

The fourth proportional to 4,289.66, 6,435.24 and 1,517.93 is: 2,277.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,289.66 : 6,435.24 = 1,517.93 : x
  2. Step 2: Convert to fraction form
    4,289.66/6,435.24 = 1,517.93/x
  3. Step 3: Cross multiply
    4,289.66x = 6,435.24 × 1,517.93
  4. Step 4: Simplify right side
    4,289.66x = 9,768,243.85
  5. Step 5: Solve for x
    x = 9,768,243.85/4,289.66
  6. Step 6: Final answer
    x = 2,277.16

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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.