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Finding the Fourth Proportional to 3,496, 5,243.04 and 1,305.60

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Solution

The fourth proportional to 3,496, 5,243.04 and 1,305.60 is: 1,958.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496 : 5,243.04 = 1,305.60 : x
  2. Step 2: Convert to fraction form
    3,496/5,243.04 = 1,305.60/x
  3. Step 3: Cross multiply
    3,496x = 5,243.04 × 1,305.60
  4. Step 4: Simplify right side
    3,496x = 6,845,313.02
  5. Step 5: Solve for x
    x = 6,845,313.02/3,496
  6. Step 6: Final answer
    x = 1,958.04

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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.