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Finding the Fourth Proportional to 5,611.58, 8,406.59 and 3,138.90

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Solution

The fourth proportional to 5,611.58, 8,406.59 and 3,138.90 is: 4,702.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,611.58 : 8,406.59 = 3,138.90 : x
  2. Step 2: Convert to fraction form
    5,611.58/8,406.59 = 3,138.90/x
  3. Step 3: Cross multiply
    5,611.58x = 8,406.59 × 3,138.90
  4. Step 4: Simplify right side
    5,611.58x = 26,387,437.50
  5. Step 5: Solve for x
    x = 26,387,437.50/5,611.58
  6. Step 6: Final answer
    x = 4,702.32

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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.