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Finding the Fourth Proportional to 5,582.13, 7,703.19 and 3,224.22

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Solution

The fourth proportional to 5,582.13, 7,703.19 and 3,224.22 is: 4,449.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.13 : 7,703.19 = 3,224.22 : x
  2. Step 2: Convert to fraction form
    5,582.13/7,703.19 = 3,224.22/x
  3. Step 3: Cross multiply
    5,582.13x = 7,703.19 × 3,224.22
  4. Step 4: Simplify right side
    5,582.13x = 24,836,779.26
  5. Step 5: Solve for x
    x = 24,836,779.26/5,582.13
  6. Step 6: Final answer
    x = 4,449.34

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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.