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Finding the Fourth Proportional to 3,295.47, 4,945.02 and 1,349.04

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Solution

The fourth proportional to 3,295.47, 4,945.02 and 1,349.04 is: 2,024.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,295.47 : 4,945.02 = 1,349.04 : x
  2. Step 2: Convert to fraction form
    3,295.47/4,945.02 = 1,349.04/x
  3. Step 3: Cross multiply
    3,295.47x = 4,945.02 × 1,349.04
  4. Step 4: Simplify right side
    3,295.47x = 6,671,005.06
  5. Step 5: Solve for x
    x = 6,671,005.06/3,295.47
  6. Step 6: Final answer
    x = 2,024.30

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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.