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Finding the Fourth Proportional to 5,294.65, 7,306.65 and 2,936.94

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Solution

The fourth proportional to 5,294.65, 7,306.65 and 2,936.94 is: 4,053.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.65 : 7,306.65 = 2,936.94 : x
  2. Step 2: Convert to fraction form
    5,294.65/7,306.65 = 2,936.94/x
  3. Step 3: Cross multiply
    5,294.65x = 7,306.65 × 2,936.94
  4. Step 4: Simplify right side
    5,294.65x = 21,459,192.65
  5. Step 5: Solve for x
    x = 21,459,192.65/5,294.65
  6. Step 6: Final answer
    x = 4,053.00

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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.