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Finding the Fourth Proportional to 5,210.94, 7,191.78 and 2,972.30

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Solution

The fourth proportional to 5,210.94, 7,191.78 and 2,972.30 is: 4,102.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.94 : 7,191.78 = 2,972.30 : x
  2. Step 2: Convert to fraction form
    5,210.94/7,191.78 = 2,972.30/x
  3. Step 3: Cross multiply
    5,210.94x = 7,191.78 × 2,972.30
  4. Step 4: Simplify right side
    5,210.94x = 21,376,127.69
  5. Step 5: Solve for x
    x = 21,376,127.69/5,210.94
  6. Step 6: Final answer
    x = 4,102.17

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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.