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Finding the Fourth Proportional to 3,090.56, 4,636.60 and 899.31

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Solution

The fourth proportional to 3,090.56, 4,636.60 and 899.31 is: 1,349.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,090.56 : 4,636.60 = 899.31 : x
  2. Step 2: Convert to fraction form
    3,090.56/4,636.60 = 899.31/x
  3. Step 3: Cross multiply
    3,090.56x = 4,636.60 × 899.31
  4. Step 4: Simplify right side
    3,090.56x = 4,169,740.75
  5. Step 5: Solve for x
    x = 4,169,740.75/3,090.56
  6. Step 6: Final answer
    x = 1,349.19

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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.