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Finding the Fourth Proportional to 3,090.46, 4,636.50 and 899.38

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Solution

The fourth proportional to 3,090.46, 4,636.50 and 899.38 is: 1,349.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,090.46 : 4,636.50 = 899.38 : x
  2. Step 2: Convert to fraction form
    3,090.46/4,636.50 = 899.38/x
  3. Step 3: Cross multiply
    3,090.46x = 4,636.50 × 899.38
  4. Step 4: Simplify right side
    3,090.46x = 4,169,975.37
  5. Step 5: Solve for x
    x = 4,169,975.37/3,090.46
  6. Step 6: Final answer
    x = 1,349.31

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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.