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Finding the Fourth Proportional to 4,145.60, 6,218.40 and 3,713.60

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Solution

The fourth proportional to 4,145.60, 6,218.40 and 3,713.60 is: 5,570.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,145.60 : 6,218.40 = 3,713.60 : x
  2. Step 2: Convert to fraction form
    4,145.60/6,218.40 = 3,713.60/x
  3. Step 3: Cross multiply
    4,145.60x = 6,218.40 × 3,713.60
  4. Step 4: Simplify right side
    4,145.60x = 23,092,650.24
  5. Step 5: Solve for x
    x = 23,092,650.24/4,145.60
  6. Step 6: Final answer
    x = 5,570.40

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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.