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Finding the Fourth Proportional to 5,643.04, 8,465.37 and 1,747.78

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Solution

The fourth proportional to 5,643.04, 8,465.37 and 1,747.78 is: 2,621.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.04 : 8,465.37 = 1,747.78 : x
  2. Step 2: Convert to fraction form
    5,643.04/8,465.37 = 1,747.78/x
  3. Step 3: Cross multiply
    5,643.04x = 8,465.37 × 1,747.78
  4. Step 4: Simplify right side
    5,643.04x = 14,795,604.38
  5. Step 5: Solve for x
    x = 14,795,604.38/5,643.04
  6. Step 6: Final answer
    x = 2,621.92

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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.