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Finding the Fourth Proportional to 5,582.08, 7,703.28 and 3,224.23

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Solution

The fourth proportional to 5,582.08, 7,703.28 and 3,224.23 is: 4,449.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.08 : 7,703.28 = 3,224.23 : x
  2. Step 2: Convert to fraction form
    5,582.08/7,703.28 = 3,224.23/x
  3. Step 3: Cross multiply
    5,582.08x = 7,703.28 × 3,224.23
  4. Step 4: Simplify right side
    5,582.08x = 24,837,146.47
  5. Step 5: Solve for x
    x = 24,837,146.47/5,582.08
  6. Step 6: Final answer
    x = 4,449.44

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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.