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Finding the Fourth Proportional to 4,694.50, 7,020.40 and 3,509.36

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Solution

The fourth proportional to 4,694.50, 7,020.40 and 3,509.36 is: 5,248.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.50 : 7,020.40 = 3,509.36 : x
  2. Step 2: Convert to fraction form
    4,694.50/7,020.40 = 3,509.36/x
  3. Step 3: Cross multiply
    4,694.50x = 7,020.40 × 3,509.36
  4. Step 4: Simplify right side
    4,694.50x = 24,637,110.94
  5. Step 5: Solve for x
    x = 24,637,110.94/4,694.50
  6. Step 6: Final answer
    x = 5,248.08

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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.