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Finding the Fourth Proportional to 5,643.24, 8,465.76 and 1,747.64

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Solution

The fourth proportional to 5,643.24, 8,465.76 and 1,747.64 is: 2,621.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.24 : 8,465.76 = 1,747.64 : x
  2. Step 2: Convert to fraction form
    5,643.24/8,465.76 = 1,747.64/x
  3. Step 3: Cross multiply
    5,643.24x = 8,465.76 × 1,747.64
  4. Step 4: Simplify right side
    5,643.24x = 14,795,100.81
  5. Step 5: Solve for x
    x = 14,795,100.81/5,643.24
  6. Step 6: Final answer
    x = 2,621.74

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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.