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Finding the Fourth Proportional to 3,627.64, 5,000.70 and 2,840.32

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Solution

The fourth proportional to 3,627.64, 5,000.70 and 2,840.32 is: 3,915.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,627.64 : 5,000.70 = 2,840.32 : x
  2. Step 2: Convert to fraction form
    3,627.64/5,000.70 = 2,840.32/x
  3. Step 3: Cross multiply
    3,627.64x = 5,000.70 × 2,840.32
  4. Step 4: Simplify right side
    3,627.64x = 14,203,588.22
  5. Step 5: Solve for x
    x = 14,203,588.22/3,627.64
  6. Step 6: Final answer
    x = 3,915.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.