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Finding the Fourth Proportional to 3,537.81, 5,305.10 and 1,955.48

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Solution

The fourth proportional to 3,537.81, 5,305.10 and 1,955.48 is: 2,932.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.81 : 5,305.10 = 1,955.48 : x
  2. Step 2: Convert to fraction form
    3,537.81/5,305.10 = 1,955.48/x
  3. Step 3: Cross multiply
    3,537.81x = 5,305.10 × 1,955.48
  4. Step 4: Simplify right side
    3,537.81x = 10,373,980.65
  5. Step 5: Solve for x
    x = 10,373,980.65/3,537.81
  6. Step 6: Final answer
    x = 2,932.32

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1.5x scale

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.