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Finding the Fourth Proportional to 6,576.38, 9,075.37 and 3,592.18

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Solution

The fourth proportional to 6,576.38, 9,075.37 and 3,592.18 is: 4,957.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,576.38 : 9,075.37 = 3,592.18 : x
  2. Step 2: Convert to fraction form
    6,576.38/9,075.37 = 3,592.18/x
  3. Step 3: Cross multiply
    6,576.38x = 9,075.37 × 3,592.18
  4. Step 4: Simplify right side
    6,576.38x = 32,600,362.61
  5. Step 5: Solve for x
    x = 32,600,362.61/6,576.38
  6. Step 6: Final answer
    x = 4,957.19

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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.