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Finding the Fourth Proportional to 5,207.86, 7,186.62 and 2,970.22

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Solution

The fourth proportional to 5,207.86, 7,186.62 and 2,970.22 is: 4,098.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.86 : 7,186.62 = 2,970.22 : x
  2. Step 2: Convert to fraction form
    5,207.86/7,186.62 = 2,970.22/x
  3. Step 3: Cross multiply
    5,207.86x = 7,186.62 × 2,970.22
  4. Step 4: Simplify right side
    5,207.86x = 21,345,842.46
  5. Step 5: Solve for x
    x = 21,345,842.46/5,207.86
  6. Step 6: Final answer
    x = 4,098.77

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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.