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Finding the Fourth Proportional to 4,451, 6,142.14 and 2,461.45

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Solution

The fourth proportional to 4,451, 6,142.14 and 2,461.45 is: 3,396.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,451 : 6,142.14 = 2,461.45 : x
  2. Step 2: Convert to fraction form
    4,451/6,142.14 = 2,461.45/x
  3. Step 3: Cross multiply
    4,451x = 6,142.14 × 2,461.45
  4. Step 4: Simplify right side
    4,451x = 15,118,570.50
  5. Step 5: Solve for x
    x = 15,118,570.50/4,451
  6. Step 6: Final answer
    x = 3,396.67

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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.