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Finding the Fourth Proportional to 5,100.86, 7,650.03 and 1,402.91

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Solution

The fourth proportional to 5,100.86, 7,650.03 and 1,402.91 is: 2,104.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100.86 : 7,650.03 = 1,402.91 : x
  2. Step 2: Convert to fraction form
    5,100.86/7,650.03 = 1,402.91/x
  3. Step 3: Cross multiply
    5,100.86x = 7,650.03 × 1,402.91
  4. Step 4: Simplify right side
    5,100.86x = 10,732,303.59
  5. Step 5: Solve for x
    x = 10,732,303.59/5,100.86
  6. Step 6: Final answer
    x = 2,104.02

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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.