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Finding the Fourth Proportional to 3,794.63, 5,695.19 and 3,029.99

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Solution

The fourth proportional to 3,794.63, 5,695.19 and 3,029.99 is: 4,547.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.63 : 5,695.19 = 3,029.99 : x
  2. Step 2: Convert to fraction form
    3,794.63/5,695.19 = 3,029.99/x
  3. Step 3: Cross multiply
    3,794.63x = 5,695.19 × 3,029.99
  4. Step 4: Simplify right side
    3,794.63x = 17,256,353.60
  5. Step 5: Solve for x
    x = 17,256,353.60/3,794.63
  6. Step 6: Final answer
    x = 4,547.57

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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.