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Finding the Fourth Proportional to 5,070.69, 6,998.06 and 3,081.44

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Solution

The fourth proportional to 5,070.69, 6,998.06 and 3,081.44 is: 4,252.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,070.69 : 6,998.06 = 3,081.44 : x
  2. Step 2: Convert to fraction form
    5,070.69/6,998.06 = 3,081.44/x
  3. Step 3: Cross multiply
    5,070.69x = 6,998.06 × 3,081.44
  4. Step 4: Simplify right side
    5,070.69x = 21,564,127.21
  5. Step 5: Solve for x
    x = 21,564,127.21/5,070.69
  6. Step 6: Final answer
    x = 4,252.70

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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.