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Finding the Fourth Proportional to 4,595.88, 6,899.22 and 2,405.64

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Solution

The fourth proportional to 4,595.88, 6,899.22 and 2,405.64 is: 3,611.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,595.88 : 6,899.22 = 2,405.64 : x
  2. Step 2: Convert to fraction form
    4,595.88/6,899.22 = 2,405.64/x
  3. Step 3: Cross multiply
    4,595.88x = 6,899.22 × 2,405.64
  4. Step 4: Simplify right side
    4,595.88x = 16,597,039.60
  5. Step 5: Solve for x
    x = 16,597,039.60/4,595.88
  6. Step 6: Final answer
    x = 3,611.29

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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.