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Finding the Fourth Proportional to 6,065.48, 8,370.35 and 3,412.95

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Solution

The fourth proportional to 6,065.48, 8,370.35 and 3,412.95 is: 4,709.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,065.48 : 8,370.35 = 3,412.95 : x
  2. Step 2: Convert to fraction form
    6,065.48/8,370.35 = 3,412.95/x
  3. Step 3: Cross multiply
    6,065.48x = 8,370.35 × 3,412.95
  4. Step 4: Simplify right side
    6,065.48x = 28,567,550.38
  5. Step 5: Solve for x
    x = 28,567,550.38/6,065.48
  6. Step 6: Final answer
    x = 4,709.86

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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.