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Finding the Fourth Proportional to 4,398.50, 6,597.02 and 3,096.02

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Solution

The fourth proportional to 4,398.50, 6,597.02 and 3,096.02 is: 4,643.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,398.50 : 6,597.02 = 3,096.02 : x
  2. Step 2: Convert to fraction form
    4,398.50/6,597.02 = 3,096.02/x
  3. Step 3: Cross multiply
    4,398.50x = 6,597.02 × 3,096.02
  4. Step 4: Simplify right side
    4,398.50x = 20,424,505.86
  5. Step 5: Solve for x
    x = 20,424,505.86/4,398.50
  6. Step 6: Final answer
    x = 4,643.52

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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.