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Finding the Fourth Proportional to 2,975.66, 4,432.06 and 2,819.54

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Solution

The fourth proportional to 2,975.66, 4,432.06 and 2,819.54 is: 4,199.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.66 : 4,432.06 = 2,819.54 : x
  2. Step 2: Convert to fraction form
    2,975.66/4,432.06 = 2,819.54/x
  3. Step 3: Cross multiply
    2,975.66x = 4,432.06 × 2,819.54
  4. Step 4: Simplify right side
    2,975.66x = 12,496,370.45
  5. Step 5: Solve for x
    x = 12,496,370.45/2,975.66
  6. Step 6: Final answer
    x = 4,199.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.