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Finding the Fourth Proportional to 5,298.75, 7,312.95 and 3,202.88

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Solution

The fourth proportional to 5,298.75, 7,312.95 and 3,202.88 is: 4,420.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298.75 : 7,312.95 = 3,202.88 : x
  2. Step 2: Convert to fraction form
    5,298.75/7,312.95 = 3,202.88/x
  3. Step 3: Cross multiply
    5,298.75x = 7,312.95 × 3,202.88
  4. Step 4: Simplify right side
    5,298.75x = 23,422,464.73
  5. Step 5: Solve for x
    x = 23,422,464.73/5,298.75
  6. Step 6: Final answer
    x = 4,420.38

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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.