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Finding the Fourth Proportional to 4,543.20, 6,271.20 and 2,776.32

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Solution

The fourth proportional to 4,543.20, 6,271.20 and 2,776.32 is: 3,832.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,543.20 : 6,271.20 = 2,776.32 : x
  2. Step 2: Convert to fraction form
    4,543.20/6,271.20 = 2,776.32/x
  3. Step 3: Cross multiply
    4,543.20x = 6,271.20 × 2,776.32
  4. Step 4: Simplify right side
    4,543.20x = 17,410,857.98
  5. Step 5: Solve for x
    x = 17,410,857.98/4,543.20
  6. Step 6: Final answer
    x = 3,832.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.