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Finding the Fourth Proportional to 5,582.48, 7,705.51 and 3,226.28

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Solution

The fourth proportional to 5,582.48, 7,705.51 and 3,226.28 is: 4,453.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.48 : 7,705.51 = 3,226.28 : x
  2. Step 2: Convert to fraction form
    5,582.48/7,705.51 = 3,226.28/x
  3. Step 3: Cross multiply
    5,582.48x = 7,705.51 × 3,226.28
  4. Step 4: Simplify right side
    5,582.48x = 24,860,132.80
  5. Step 5: Solve for x
    x = 24,860,132.80/5,582.48
  6. Step 6: Final answer
    x = 4,453.24

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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.