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Finding the Fourth Proportional to 3,504.47, 5,259.13 and 1,774.31

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Solution

The fourth proportional to 3,504.47, 5,259.13 and 1,774.31 is: 2,662.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,504.47 : 5,259.13 = 1,774.31 : x
  2. Step 2: Convert to fraction form
    3,504.47/5,259.13 = 1,774.31/x
  3. Step 3: Cross multiply
    3,504.47x = 5,259.13 × 1,774.31
  4. Step 4: Simplify right side
    3,504.47x = 9,331,296.22
  5. Step 5: Solve for x
    x = 9,331,296.22/3,504.47
  6. Step 6: Final answer
    x = 2,662.69

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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.