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Finding the Fourth Proportional to 3,544.16, 5,308.94 and 2,847.05

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Solution

The fourth proportional to 3,544.16, 5,308.94 and 2,847.05 is: 4,264.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,544.16 : 5,308.94 = 2,847.05 : x
  2. Step 2: Convert to fraction form
    3,544.16/5,308.94 = 2,847.05/x
  3. Step 3: Cross multiply
    3,544.16x = 5,308.94 × 2,847.05
  4. Step 4: Simplify right side
    3,544.16x = 15,114,818.11
  5. Step 5: Solve for x
    x = 15,114,818.11/3,544.16
  6. Step 6: Final answer
    x = 4,264.72

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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.