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Finding the Fourth Proportional to 6,523.65, 9,777.20 and 3,053.25

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Solution

The fourth proportional to 6,523.65, 9,777.20 and 3,053.25 is: 4,576.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.65 : 9,777.20 = 3,053.25 : x
  2. Step 2: Convert to fraction form
    6,523.65/9,777.20 = 3,053.25/x
  3. Step 3: Cross multiply
    6,523.65x = 9,777.20 × 3,053.25
  4. Step 4: Simplify right side
    6,523.65x = 29,852,220.63
  5. Step 5: Solve for x
    x = 29,852,220.63/6,523.65
  6. Step 6: Final answer
    x = 4,576.00

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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.