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Finding the Fourth Proportional to 3,300.65, 4,950.96 and 835.48

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Solution

The fourth proportional to 3,300.65, 4,950.96 and 835.48 is: 1,253.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,300.65 : 4,950.96 = 835.48 : x
  2. Step 2: Convert to fraction form
    3,300.65/4,950.96 = 835.48/x
  3. Step 3: Cross multiply
    3,300.65x = 4,950.96 × 835.48
  4. Step 4: Simplify right side
    3,300.65x = 4,136,428.06
  5. Step 5: Solve for x
    x = 4,136,428.06/3,300.65
  6. Step 6: Final answer
    x = 1,253.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.