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Finding the Fourth Proportional to 4,584, 6,323.04 and 3,654.72

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Solution

The fourth proportional to 4,584, 6,323.04 and 3,654.72 is: 5,041.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,584 : 6,323.04 = 3,654.72 : x
  2. Step 2: Convert to fraction form
    4,584/6,323.04 = 3,654.72/x
  3. Step 3: Cross multiply
    4,584x = 6,323.04 × 3,654.72
  4. Step 4: Simplify right side
    4,584x = 23,108,940.75
  5. Step 5: Solve for x
    x = 23,108,940.75/4,584
  6. Step 6: Final answer
    x = 5,041.22

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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.