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Finding the Fourth Proportional to 3,655.26, 5,045.22 and 3,064.86

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Solution

The fourth proportional to 3,655.26, 5,045.22 and 3,064.86 is: 4,230.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.26 : 5,045.22 = 3,064.86 : x
  2. Step 2: Convert to fraction form
    3,655.26/5,045.22 = 3,064.86/x
  3. Step 3: Cross multiply
    3,655.26x = 5,045.22 × 3,064.86
  4. Step 4: Simplify right side
    3,655.26x = 15,462,892.97
  5. Step 5: Solve for x
    x = 15,462,892.97/3,655.26
  6. Step 6: Final answer
    x = 4,230.31

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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.