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Finding the Fourth Proportional to 6,576.81, 9,075.92 and 4,057.91

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Solution

The fourth proportional to 6,576.81, 9,075.92 and 4,057.91 is: 5,599.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,576.81 : 9,075.92 = 4,057.91 : x
  2. Step 2: Convert to fraction form
    6,576.81/9,075.92 = 4,057.91/x
  3. Step 3: Cross multiply
    6,576.81x = 9,075.92 × 4,057.91
  4. Step 4: Simplify right side
    6,576.81x = 36,829,200.86
  5. Step 5: Solve for x
    x = 36,829,200.86/6,576.81
  6. Step 6: Final answer
    x = 5,599.86

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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.