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Finding the Fourth Proportional to 6,154.60, 8,492.42 and 3,502.12

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Solution

The fourth proportional to 6,154.60, 8,492.42 and 3,502.12 is: 4,832.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.60 : 8,492.42 = 3,502.12 : x
  2. Step 2: Convert to fraction form
    6,154.60/8,492.42 = 3,502.12/x
  3. Step 3: Cross multiply
    6,154.60x = 8,492.42 × 3,502.12
  4. Step 4: Simplify right side
    6,154.60x = 29,741,473.93
  5. Step 5: Solve for x
    x = 29,741,473.93/6,154.60
  6. Step 6: Final answer
    x = 4,832.40

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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.