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Finding the Fourth Proportional to 5,100.92, 7,650.74 and 1,402.93

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Solution

The fourth proportional to 5,100.92, 7,650.74 and 1,402.93 is: 2,104.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100.92 : 7,650.74 = 1,402.93 : x
  2. Step 2: Convert to fraction form
    5,100.92/7,650.74 = 1,402.93/x
  3. Step 3: Cross multiply
    5,100.92x = 7,650.74 × 1,402.93
  4. Step 4: Simplify right side
    5,100.92x = 10,733,426.11
  5. Step 5: Solve for x
    x = 10,733,426.11/5,100.92
  6. Step 6: Final answer
    x = 2,104.21

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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.