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Finding the Fourth Proportional to 3,798.36, 5,697.22 and 1,746.36

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Solution

The fourth proportional to 3,798.36, 5,697.22 and 1,746.36 is: 2,619.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.36 : 5,697.22 = 1,746.36 : x
  2. Step 2: Convert to fraction form
    3,798.36/5,697.22 = 1,746.36/x
  3. Step 3: Cross multiply
    3,798.36x = 5,697.22 × 1,746.36
  4. Step 4: Simplify right side
    3,798.36x = 9,949,397.12
  5. Step 5: Solve for x
    x = 9,949,397.12/3,798.36
  6. Step 6: Final answer
    x = 2,619.39

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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.