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Finding the Fourth Proportional to 5,005.12, 7,503.84 and 2,696

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Solution

The fourth proportional to 5,005.12, 7,503.84 and 2,696 is: 4,041.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,005.12 : 7,503.84 = 2,696 : x
  2. Step 2: Convert to fraction form
    5,005.12/7,503.84 = 2,696/x
  3. Step 3: Cross multiply
    5,005.12x = 7,503.84 × 2,696
  4. Step 4: Simplify right side
    5,005.12x = 20,230,352.64
  5. Step 5: Solve for x
    x = 20,230,352.64/5,005.12
  6. Step 6: Final answer
    x = 4,041.93

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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.