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Finding the Fourth Proportional to 6,065.16, 8,370 and 3,412.32

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Solution

The fourth proportional to 6,065.16, 8,370 and 3,412.32 is: 4,709.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,065.16 : 8,370 = 3,412.32 : x
  2. Step 2: Convert to fraction form
    6,065.16/8,370 = 3,412.32/x
  3. Step 3: Cross multiply
    6,065.16x = 8,370 × 3,412.32
  4. Step 4: Simplify right side
    6,065.16x = 28,561,118.40
  5. Step 5: Solve for x
    x = 28,561,118.40/6,065.16
  6. Step 6: Final answer
    x = 4,709.05

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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.