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Finding the Fourth Proportional to 3,090.83, 4,635.23 and 899.64

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Solution

The fourth proportional to 3,090.83, 4,635.23 and 899.64 is: 1,349.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,090.83 : 4,635.23 = 899.64 : x
  2. Step 2: Convert to fraction form
    3,090.83/4,635.23 = 899.64/x
  3. Step 3: Cross multiply
    3,090.83x = 4,635.23 × 899.64
  4. Step 4: Simplify right side
    3,090.83x = 4,170,033.82
  5. Step 5: Solve for x
    x = 4,170,033.82/3,090.83
  6. Step 6: Final answer
    x = 1,349.17

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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.