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Finding the Fourth Proportional to 6,154, 8,492.64 and 3,670

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Solution

The fourth proportional to 6,154, 8,492.64 and 3,670 is: 5,064.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154 : 8,492.64 = 3,670 : x
  2. Step 2: Convert to fraction form
    6,154/8,492.64 = 3,670/x
  3. Step 3: Cross multiply
    6,154x = 8,492.64 × 3,670
  4. Step 4: Simplify right side
    6,154x = 31,167,988.80
  5. Step 5: Solve for x
    x = 31,167,988.80/6,154
  6. Step 6: Final answer
    x = 5,064.67

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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.