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Finding the Fourth Proportional to 3,584.63, 5,376.95 and 1,532.63

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Solution

The fourth proportional to 3,584.63, 5,376.95 and 1,532.63 is: 2,298.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.63 : 5,376.95 = 1,532.63 : x
  2. Step 2: Convert to fraction form
    3,584.63/5,376.95 = 1,532.63/x
  3. Step 3: Cross multiply
    3,584.63x = 5,376.95 × 1,532.63
  4. Step 4: Simplify right side
    3,584.63x = 8,240,840.33
  5. Step 5: Solve for x
    x = 8,240,840.33/3,584.63
  6. Step 6: Final answer
    x = 2,298.94

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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.