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Finding the Fourth Proportional to 3,157.74, 4,736.66 and 2,572.07

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Solution

The fourth proportional to 3,157.74, 4,736.66 and 2,572.07 is: 3,858.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.74 : 4,736.66 = 2,572.07 : x
  2. Step 2: Convert to fraction form
    3,157.74/4,736.66 = 2,572.07/x
  3. Step 3: Cross multiply
    3,157.74x = 4,736.66 × 2,572.07
  4. Step 4: Simplify right side
    3,157.74x = 12,182,984.54
  5. Step 5: Solve for x
    x = 12,182,984.54/3,157.74
  6. Step 6: Final answer
    x = 3,858.13

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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.