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Finding the Fourth Proportional to 3,602.08, 5,403.20 and 1,653.76

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Solution

The fourth proportional to 3,602.08, 5,403.20 and 1,653.76 is: 2,480.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.08 : 5,403.20 = 1,653.76 : x
  2. Step 2: Convert to fraction form
    3,602.08/5,403.20 = 1,653.76/x
  3. Step 3: Cross multiply
    3,602.08x = 5,403.20 × 1,653.76
  4. Step 4: Simplify right side
    3,602.08x = 8,935,596.03
  5. Step 5: Solve for x
    x = 8,935,596.03/3,602.08
  6. Step 6: Final answer
    x = 2,480.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.