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Finding the Fourth Proportional to 6,168, 8,507.84 and 4,154.88

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Solution

The fourth proportional to 6,168, 8,507.84 and 4,154.88 is: 5,731.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,168 : 8,507.84 = 4,154.88 : x
  2. Step 2: Convert to fraction form
    6,168/8,507.84 = 4,154.88/x
  3. Step 3: Cross multiply
    6,168x = 8,507.84 × 4,154.88
  4. Step 4: Simplify right side
    6,168x = 35,349,054.26
  5. Step 5: Solve for x
    x = 35,349,054.26/6,168
  6. Step 6: Final answer
    x = 5,731.04

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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.