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Finding the Fourth Proportional to 4,573.60, 6,871.97 and 4,389.09

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Solution

The fourth proportional to 4,573.60, 6,871.97 and 4,389.09 is: 6,594.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,573.60 : 6,871.97 = 4,389.09 : x
  2. Step 2: Convert to fraction form
    4,573.60/6,871.97 = 4,389.09/x
  3. Step 3: Cross multiply
    4,573.60x = 6,871.97 × 4,389.09
  4. Step 4: Simplify right side
    4,573.60x = 30,161,680.01
  5. Step 5: Solve for x
    x = 30,161,680.01/4,573.60
  6. Step 6: Final answer
    x = 6,594.74

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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.