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Finding the Fourth Proportional to 5,602.32, 8,402.49 and 2,091.54

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Solution

The fourth proportional to 5,602.32, 8,402.49 and 2,091.54 is: 3,136.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,602.32 : 8,402.49 = 2,091.54 : x
  2. Step 2: Convert to fraction form
    5,602.32/8,402.49 = 2,091.54/x
  3. Step 3: Cross multiply
    5,602.32x = 8,402.49 × 2,091.54
  4. Step 4: Simplify right side
    5,602.32x = 17,574,143.93
  5. Step 5: Solve for x
    x = 17,574,143.93/5,602.32
  6. Step 6: Final answer
    x = 3,136.94

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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.