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Finding the Fourth Proportional to 5,145.40, 7,713.60 and 3,496.60

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Solution

The fourth proportional to 5,145.40, 7,713.60 and 3,496.60 is: 5,241.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.40 : 7,713.60 = 3,496.60 : x
  2. Step 2: Convert to fraction form
    5,145.40/7,713.60 = 3,496.60/x
  3. Step 3: Cross multiply
    5,145.40x = 7,713.60 × 3,496.60
  4. Step 4: Simplify right side
    5,145.40x = 26,971,373.76
  5. Step 5: Solve for x
    x = 26,971,373.76/5,145.40
  6. Step 6: Final answer
    x = 5,241.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.