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Finding the Fourth Proportional to 4,323.43, 6,487.07 and 2,101.04

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Solution

The fourth proportional to 4,323.43, 6,487.07 and 2,101.04 is: 3,152.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,323.43 : 6,487.07 = 2,101.04 : x
  2. Step 2: Convert to fraction form
    4,323.43/6,487.07 = 2,101.04/x
  3. Step 3: Cross multiply
    4,323.43x = 6,487.07 × 2,101.04
  4. Step 4: Simplify right side
    4,323.43x = 13,629,586.76
  5. Step 5: Solve for x
    x = 13,629,586.76/4,323.43
  6. Step 6: Final answer
    x = 3,152.50

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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.