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Finding the Fourth Proportional to 3,582.96, 5,393.94 and 3,225.78

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Solution

The fourth proportional to 3,582.96, 5,393.94 and 3,225.78 is: 4,856.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,582.96 : 5,393.94 = 3,225.78 : x
  2. Step 2: Convert to fraction form
    3,582.96/5,393.94 = 3,225.78/x
  3. Step 3: Cross multiply
    3,582.96x = 5,393.94 × 3,225.78
  4. Step 4: Simplify right side
    3,582.96x = 17,399,663.77
  5. Step 5: Solve for x
    x = 17,399,663.77/3,582.96
  6. Step 6: Final answer
    x = 4,856.23

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.