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Finding the Fourth Proportional to 3,412.51, 5,119.07 and 1,464.26

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Solution

The fourth proportional to 3,412.51, 5,119.07 and 1,464.26 is: 2,196.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.51 : 5,119.07 = 1,464.26 : x
  2. Step 2: Convert to fraction form
    3,412.51/5,119.07 = 1,464.26/x
  3. Step 3: Cross multiply
    3,412.51x = 5,119.07 × 1,464.26
  4. Step 4: Simplify right side
    3,412.51x = 7,495,649.44
  5. Step 5: Solve for x
    x = 7,495,649.44/3,412.51
  6. Step 6: Final answer
    x = 2,196.52

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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.