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Finding the Fourth Proportional to 3,020.75, 4,509.30 and 2,804.48

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Solution

The fourth proportional to 3,020.75, 4,509.30 and 2,804.48 is: 4,186.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,020.75 : 4,509.30 = 2,804.48 : x
  2. Step 2: Convert to fraction form
    3,020.75/4,509.30 = 2,804.48/x
  3. Step 3: Cross multiply
    3,020.75x = 4,509.30 × 2,804.48
  4. Step 4: Simplify right side
    3,020.75x = 12,646,238.91
  5. Step 5: Solve for x
    x = 12,646,238.91/3,020.75
  6. Step 6: Final answer
    x = 4,186.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.