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Finding the Fourth Proportional to 6,412.50, 8,849.25 and 3,618

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Solution

The fourth proportional to 6,412.50, 8,849.25 and 3,618 is: 4,992.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.50 : 8,849.25 = 3,618 : x
  2. Step 2: Convert to fraction form
    6,412.50/8,849.25 = 3,618/x
  3. Step 3: Cross multiply
    6,412.50x = 8,849.25 × 3,618
  4. Step 4: Simplify right side
    6,412.50x = 32,016,586.50
  5. Step 5: Solve for x
    x = 32,016,586.50/6,412.50
  6. Step 6: Final answer
    x = 4,992.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.