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Finding the Fourth Proportional to 3,609.51, 4,984.56 and 3,412.96

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Solution

The fourth proportional to 3,609.51, 4,984.56 and 3,412.96 is: 4,713.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.51 : 4,984.56 = 3,412.96 : x
  2. Step 2: Convert to fraction form
    3,609.51/4,984.56 = 3,412.96/x
  3. Step 3: Cross multiply
    3,609.51x = 4,984.56 × 3,412.96
  4. Step 4: Simplify right side
    3,609.51x = 17,012,078.97
  5. Step 5: Solve for x
    x = 17,012,078.97/3,609.51
  6. Step 6: Final answer
    x = 4,713.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.