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Finding the Fourth Proportional to 5,300.82, 7,315.02 and 2,942.91

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Solution

The fourth proportional to 5,300.82, 7,315.02 and 2,942.91 is: 4,061.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.82 : 7,315.02 = 2,942.91 : x
  2. Step 2: Convert to fraction form
    5,300.82/7,315.02 = 2,942.91/x
  3. Step 3: Cross multiply
    5,300.82x = 7,315.02 × 2,942.91
  4. Step 4: Simplify right side
    5,300.82x = 21,527,445.51
  5. Step 5: Solve for x
    x = 21,527,445.51/5,300.82
  6. Step 6: Final answer
    x = 4,061.15

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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.