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Finding the Fourth Proportional to 6,154.62, 8,492.25 and 4,057.50

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Solution

The fourth proportional to 6,154.62, 8,492.25 and 4,057.50 is: 5,598.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.62 : 8,492.25 = 4,057.50 : x
  2. Step 2: Convert to fraction form
    6,154.62/8,492.25 = 4,057.50/x
  3. Step 3: Cross multiply
    6,154.62x = 8,492.25 × 4,057.50
  4. Step 4: Simplify right side
    6,154.62x = 34,457,304.38
  5. Step 5: Solve for x
    x = 34,457,304.38/6,154.62
  6. Step 6: Final answer
    x = 5,598.61

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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.