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Finding the Fourth Proportional to 5,543.64, 8,275.77 and 5,138.64

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Solution

The fourth proportional to 5,543.64, 8,275.77 and 5,138.64 is: 7,671.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,543.64 : 8,275.77 = 5,138.64 : x
  2. Step 2: Convert to fraction form
    5,543.64/8,275.77 = 5,138.64/x
  3. Step 3: Cross multiply
    5,543.64x = 8,275.77 × 5,138.64
  4. Step 4: Simplify right side
    5,543.64x = 42,526,202.75
  5. Step 5: Solve for x
    x = 42,526,202.75/5,543.64
  6. Step 6: Final answer
    x = 7,671.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.