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Finding the Fourth Proportional to 6,064.55, 8,369.10 and 3,412.00

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Solution

The fourth proportional to 6,064.55, 8,369.10 and 3,412.00 is: 4,708.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,064.55 : 8,369.10 = 3,412.00 : x
  2. Step 2: Convert to fraction form
    6,064.55/8,369.10 = 3,412.00/x
  3. Step 3: Cross multiply
    6,064.55x = 8,369.10 × 3,412.00
  4. Step 4: Simplify right side
    6,064.55x = 28,555,379.66
  5. Step 5: Solve for x
    x = 28,555,379.66/6,064.55
  6. Step 6: Final answer
    x = 4,708.57

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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.