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Finding the Fourth Proportional to 3,804.80, 5,707.12 and 1,752.80

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Solution

The fourth proportional to 3,804.80, 5,707.12 and 1,752.80 is: 2,629.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.80 : 5,707.12 = 1,752.80 : x
  2. Step 2: Convert to fraction form
    3,804.80/5,707.12 = 1,752.80/x
  3. Step 3: Cross multiply
    3,804.80x = 5,707.12 × 1,752.80
  4. Step 4: Simplify right side
    3,804.80x = 10,003,439.94
  5. Step 5: Solve for x
    x = 10,003,439.94/3,804.80
  6. Step 6: Final answer
    x = 2,629.16

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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.