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Finding the Fourth Proportional to 5,300.75, 7,315.04 and 2,943.11

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Solution

The fourth proportional to 5,300.75, 7,315.04 and 2,943.11 is: 4,061.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.75 : 7,315.04 = 2,943.11 : x
  2. Step 2: Convert to fraction form
    5,300.75/7,315.04 = 2,943.11/x
  3. Step 3: Cross multiply
    5,300.75x = 7,315.04 × 2,943.11
  4. Step 4: Simplify right side
    5,300.75x = 21,528,967.37
  5. Step 5: Solve for x
    x = 21,528,967.37/5,300.75
  6. Step 6: Final answer
    x = 4,061.49

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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.