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Finding the Fourth Proportional to 5,210.29, 7,189.95 and 2,972.09

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Solution

The fourth proportional to 5,210.29, 7,189.95 and 2,972.09 is: 4,101.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.29 : 7,189.95 = 2,972.09 : x
  2. Step 2: Convert to fraction form
    5,210.29/7,189.95 = 2,972.09/x
  3. Step 3: Cross multiply
    5,210.29x = 7,189.95 × 2,972.09
  4. Step 4: Simplify right side
    5,210.29x = 21,369,145.66
  5. Step 5: Solve for x
    x = 21,369,145.66/5,210.29
  6. Step 6: Final answer
    x = 4,101.33

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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.