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Finding the Fourth Proportional to 3,655.01, 5,486.13 and 2,468.90

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Solution

The fourth proportional to 3,655.01, 5,486.13 and 2,468.90 is: 3,705.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.01 : 5,486.13 = 2,468.90 : x
  2. Step 2: Convert to fraction form
    3,655.01/5,486.13 = 2,468.90/x
  3. Step 3: Cross multiply
    3,655.01x = 5,486.13 × 2,468.90
  4. Step 4: Simplify right side
    3,655.01x = 13,544,720.07
  5. Step 5: Solve for x
    x = 13,544,720.07/3,655.01
  6. Step 6: Final answer
    x = 3,705.79

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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.