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Finding the Fourth Proportional to 4,694.90, 7,047.48 and 3,458.48

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Solution

The fourth proportional to 4,694.90, 7,047.48 and 3,458.48 is: 5,191.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.90 : 7,047.48 = 3,458.48 : x
  2. Step 2: Convert to fraction form
    4,694.90/7,047.48 = 3,458.48/x
  3. Step 3: Cross multiply
    4,694.90x = 7,047.48 × 3,458.48
  4. Step 4: Simplify right side
    4,694.90x = 24,373,568.63
  5. Step 5: Solve for x
    x = 24,373,568.63/4,694.90
  6. Step 6: Final answer
    x = 5,191.50

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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.