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Finding the Fourth Proportional to 5,602.32, 7,731.29 and 3,212.50

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Solution

The fourth proportional to 5,602.32, 7,731.29 and 3,212.50 is: 4,433.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,602.32 : 7,731.29 = 3,212.50 : x
  2. Step 2: Convert to fraction form
    5,602.32/7,731.29 = 3,212.50/x
  3. Step 3: Cross multiply
    5,602.32x = 7,731.29 × 3,212.50
  4. Step 4: Simplify right side
    5,602.32x = 24,836,769.13
  5. Step 5: Solve for x
    x = 24,836,769.13/5,602.32
  6. Step 6: Final answer
    x = 4,433.30

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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.