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Finding the Fourth Proportional to 5,435.80, 8,145.06 and 3,486.40

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Solution

The fourth proportional to 5,435.80, 8,145.06 and 3,486.40 is: 5,224.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,435.80 : 8,145.06 = 3,486.40 : x
  2. Step 2: Convert to fraction form
    5,435.80/8,145.06 = 3,486.40/x
  3. Step 3: Cross multiply
    5,435.80x = 8,145.06 × 3,486.40
  4. Step 4: Simplify right side
    5,435.80x = 28,396,937.18
  5. Step 5: Solve for x
    x = 28,396,937.18/5,435.80
  6. Step 6: Final answer
    x = 5,224.06

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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.