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Finding the Fourth Proportional to 3,436.55, 5,154.77 and 839.51

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Solution

The fourth proportional to 3,436.55, 5,154.77 and 839.51 is: 1,259.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,436.55 : 5,154.77 = 839.51 : x
  2. Step 2: Convert to fraction form
    3,436.55/5,154.77 = 839.51/x
  3. Step 3: Cross multiply
    3,436.55x = 5,154.77 × 839.51
  4. Step 4: Simplify right side
    3,436.55x = 4,327,455.19
  5. Step 5: Solve for x
    x = 4,327,455.19/3,436.55
  6. Step 6: Final answer
    x = 1,259.25

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Double scale
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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.