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Finding the Fourth Proportional to 3,497.02, 5,245.52 and 899.75

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Solution

The fourth proportional to 3,497.02, 5,245.52 and 899.75 is: 1,349.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.02 : 5,245.52 = 899.75 : x
  2. Step 2: Convert to fraction form
    3,497.02/5,245.52 = 899.75/x
  3. Step 3: Cross multiply
    3,497.02x = 5,245.52 × 899.75
  4. Step 4: Simplify right side
    3,497.02x = 4,719,656.62
  5. Step 5: Solve for x
    x = 4,719,656.62/3,497.02
  6. Step 6: Final answer
    x = 1,349.62

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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.