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Finding the Fourth Proportional to 4,090.68, 5,643.90 and 2,412.24

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Solution

The fourth proportional to 4,090.68, 5,643.90 and 2,412.24 is: 3,328.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,090.68 : 5,643.90 = 2,412.24 : x
  2. Step 2: Convert to fraction form
    4,090.68/5,643.90 = 2,412.24/x
  3. Step 3: Cross multiply
    4,090.68x = 5,643.90 × 2,412.24
  4. Step 4: Simplify right side
    4,090.68x = 13,614,441.34
  5. Step 5: Solve for x
    x = 13,614,441.34/4,090.68
  6. Step 6: Final answer
    x = 3,328.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.