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Finding the Fourth Proportional to 4,157.65, 5,736.99 and 2,478.93

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Solution

The fourth proportional to 4,157.65, 5,736.99 and 2,478.93 is: 3,420.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.65 : 5,736.99 = 2,478.93 : x
  2. Step 2: Convert to fraction form
    4,157.65/5,736.99 = 2,478.93/x
  3. Step 3: Cross multiply
    4,157.65x = 5,736.99 × 2,478.93
  4. Step 4: Simplify right side
    4,157.65x = 14,221,596.62
  5. Step 5: Solve for x
    x = 14,221,596.62/4,157.65
  6. Step 6: Final answer
    x = 3,420.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.