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Finding the Fourth Proportional to 3,684.09, 5,523 and 1,602.54

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Solution

The fourth proportional to 3,684.09, 5,523 and 1,602.54 is: 2,402.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.09 : 5,523 = 1,602.54 : x
  2. Step 2: Convert to fraction form
    3,684.09/5,523 = 1,602.54/x
  3. Step 3: Cross multiply
    3,684.09x = 5,523 × 1,602.54
  4. Step 4: Simplify right side
    3,684.09x = 8,850,828.42
  5. Step 5: Solve for x
    x = 8,850,828.42/3,684.09
  6. Step 6: Final answer
    x = 2,402.45

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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.