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Finding the Fourth Proportional to 4,497.71, 6,746.63 and 1,576.13

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Solution

The fourth proportional to 4,497.71, 6,746.63 and 1,576.13 is: 2,364.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497.71 : 6,746.63 = 1,576.13 : x
  2. Step 2: Convert to fraction form
    4,497.71/6,746.63 = 1,576.13/x
  3. Step 3: Cross multiply
    4,497.71x = 6,746.63 × 1,576.13
  4. Step 4: Simplify right side
    4,497.71x = 10,633,524.33
  5. Step 5: Solve for x
    x = 10,633,524.33/4,497.71
  6. Step 6: Final answer
    x = 2,364.21

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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.