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Finding the Fourth Proportional to 4,576.69, 6,316.23 and 2,897.92

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Solution

The fourth proportional to 4,576.69, 6,316.23 and 2,897.92 is: 3,999.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576.69 : 6,316.23 = 2,897.92 : x
  2. Step 2: Convert to fraction form
    4,576.69/6,316.23 = 2,897.92/x
  3. Step 3: Cross multiply
    4,576.69x = 6,316.23 × 2,897.92
  4. Step 4: Simplify right side
    4,576.69x = 18,303,929.24
  5. Step 5: Solve for x
    x = 18,303,929.24/4,576.69
  6. Step 6: Final answer
    x = 3,999.38

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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.