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Finding the Fourth Proportional to 4,497.93, 6,746.46 and 1,576.08

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Solution

The fourth proportional to 4,497.93, 6,746.46 and 1,576.08 is: 2,363.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497.93 : 6,746.46 = 1,576.08 : x
  2. Step 2: Convert to fraction form
    4,497.93/6,746.46 = 1,576.08/x
  3. Step 3: Cross multiply
    4,497.93x = 6,746.46 × 1,576.08
  4. Step 4: Simplify right side
    4,497.93x = 10,632,960.68
  5. Step 5: Solve for x
    x = 10,632,960.68/4,497.93
  6. Step 6: Final answer
    x = 2,363.97

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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.