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Finding the Fourth Proportional to 5,006.98, 6,909.01 and 2,768.86

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Solution

The fourth proportional to 5,006.98, 6,909.01 and 2,768.86 is: 3,820.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.98 : 6,909.01 = 2,768.86 : x
  2. Step 2: Convert to fraction form
    5,006.98/6,909.01 = 2,768.86/x
  3. Step 3: Cross multiply
    5,006.98x = 6,909.01 × 2,768.86
  4. Step 4: Simplify right side
    5,006.98x = 19,130,081.43
  5. Step 5: Solve for x
    x = 19,130,081.43/5,006.98
  6. Step 6: Final answer
    x = 3,820.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.