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Finding the Fourth Proportional to 3,412.55, 4,707.78 and 2,914.40

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Solution

The fourth proportional to 3,412.55, 4,707.78 and 2,914.40 is: 4,020.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.55 : 4,707.78 = 2,914.40 : x
  2. Step 2: Convert to fraction form
    3,412.55/4,707.78 = 2,914.40/x
  3. Step 3: Cross multiply
    3,412.55x = 4,707.78 × 2,914.40
  4. Step 4: Simplify right side
    3,412.55x = 13,720,354.03
  5. Step 5: Solve for x
    x = 13,720,354.03/3,412.55
  6. Step 6: Final answer
    x = 4,020.56

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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.