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Finding the Fourth Proportional to 3,494.53, 5,241.62 and 1,303.08

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Solution

The fourth proportional to 3,494.53, 5,241.62 and 1,303.08 is: 1,954.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.53 : 5,241.62 = 1,303.08 : x
  2. Step 2: Convert to fraction form
    3,494.53/5,241.62 = 1,303.08/x
  3. Step 3: Cross multiply
    3,494.53x = 5,241.62 × 1,303.08
  4. Step 4: Simplify right side
    3,494.53x = 6,830,268.22
  5. Step 5: Solve for x
    x = 6,830,268.22/3,494.53
  6. Step 6: Final answer
    x = 1,954.56

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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.