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Finding the Fourth Proportional to 5,322.68, 7,984.48 and 2,202.10

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Solution

The fourth proportional to 5,322.68, 7,984.48 and 2,202.10 is: 3,303.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.68 : 7,984.48 = 2,202.10 : x
  2. Step 2: Convert to fraction form
    5,322.68/7,984.48 = 2,202.10/x
  3. Step 3: Cross multiply
    5,322.68x = 7,984.48 × 2,202.10
  4. Step 4: Simplify right side
    5,322.68x = 17,582,623.41
  5. Step 5: Solve for x
    x = 17,582,623.41/5,322.68
  6. Step 6: Final answer
    x = 3,303.34

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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.