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Finding the Fourth Proportional to 3,804.30, 5,706.37 and 1,752.30

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Solution

The fourth proportional to 3,804.30, 5,706.37 and 1,752.30 is: 2,628.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.30 : 5,706.37 = 1,752.30 : x
  2. Step 2: Convert to fraction form
    3,804.30/5,706.37 = 1,752.30/x
  3. Step 3: Cross multiply
    3,804.30x = 5,706.37 × 1,752.30
  4. Step 4: Simplify right side
    3,804.30x = 9,999,272.15
  5. Step 5: Solve for x
    x = 9,999,272.15/3,804.30
  6. Step 6: Final answer
    x = 2,628.41

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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.