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Finding the Fourth Proportional to 5,583.08, 7,705.34 and 3,225.22

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Solution

The fourth proportional to 5,583.08, 7,705.34 and 3,225.22 is: 4,451.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,583.08 : 7,705.34 = 3,225.22 : x
  2. Step 2: Convert to fraction form
    5,583.08/7,705.34 = 3,225.22/x
  3. Step 3: Cross multiply
    5,583.08x = 7,705.34 × 3,225.22
  4. Step 4: Simplify right side
    5,583.08x = 24,851,400.55
  5. Step 5: Solve for x
    x = 24,851,400.55/5,583.08
  6. Step 6: Final answer
    x = 4,451.20

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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.