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Finding the Fourth Proportional to 5,210.38, 7,191.00 and 2,971.74

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Solution

The fourth proportional to 5,210.38, 7,191.00 and 2,971.74 is: 4,101.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.38 : 7,191.00 = 2,971.74 : x
  2. Step 2: Convert to fraction form
    5,210.38/7,191.00 = 2,971.74/x
  3. Step 3: Cross multiply
    5,210.38x = 7,191.00 × 2,971.74
  4. Step 4: Simplify right side
    5,210.38x = 21,369,777.21
  5. Step 5: Solve for x
    x = 21,369,777.21/5,210.38
  6. Step 6: Final answer
    x = 4,101.39

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Why These Related Problems?

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