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Finding the Fourth Proportional to 3,967.52, 5,475.36 and 2,199.20

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Solution

The fourth proportional to 3,967.52, 5,475.36 and 2,199.20 is: 3,035.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.52 : 5,475.36 = 2,199.20 : x
  2. Step 2: Convert to fraction form
    3,967.52/5,475.36 = 2,199.20/x
  3. Step 3: Cross multiply
    3,967.52x = 5,475.36 × 2,199.20
  4. Step 4: Simplify right side
    3,967.52x = 12,041,411.71
  5. Step 5: Solve for x
    x = 12,041,411.71/3,967.52
  6. Step 6: Final answer
    x = 3,035.00

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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.