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Finding the Fourth Proportional to 4,720.65, 7,074.27 and 3,478.29

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Solution

The fourth proportional to 4,720.65, 7,074.27 and 3,478.29 is: 5,212.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,720.65 : 7,074.27 = 3,478.29 : x
  2. Step 2: Convert to fraction form
    4,720.65/7,074.27 = 3,478.29/x
  3. Step 3: Cross multiply
    4,720.65x = 7,074.27 × 3,478.29
  4. Step 4: Simplify right side
    4,720.65x = 24,606,362.60
  5. Step 5: Solve for x
    x = 24,606,362.60/4,720.65
  6. Step 6: Final answer
    x = 5,212.49

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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.