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Finding the Fourth Proportional to 4,516.65, 6,232.71 and 2,838

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Solution

The fourth proportional to 4,516.65, 6,232.71 and 2,838 is: 3,916.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,516.65 : 6,232.71 = 2,838 : x
  2. Step 2: Convert to fraction form
    4,516.65/6,232.71 = 2,838/x
  3. Step 3: Cross multiply
    4,516.65x = 6,232.71 × 2,838
  4. Step 4: Simplify right side
    4,516.65x = 17,688,430.98
  5. Step 5: Solve for x
    x = 17,688,430.98/4,516.65
  6. Step 6: Final answer
    x = 3,916.27

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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.