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Finding the Fourth Proportional to 3,576.04, 5,364.06 and 1,267

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Solution

The fourth proportional to 3,576.04, 5,364.06 and 1,267 is: 1,900.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,576.04 : 5,364.06 = 1,267 : x
  2. Step 2: Convert to fraction form
    3,576.04/5,364.06 = 1,267/x
  3. Step 3: Cross multiply
    3,576.04x = 5,364.06 × 1,267
  4. Step 4: Simplify right side
    3,576.04x = 6,796,264.02
  5. Step 5: Solve for x
    x = 6,796,264.02/3,576.04
  6. Step 6: Final answer
    x = 1,900.50

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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.