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Finding the Fourth Proportional to 5,109.40, 7,664.10 and 4,461.40

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Solution

The fourth proportional to 5,109.40, 7,664.10 and 4,461.40 is: 6,692.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,109.40 : 7,664.10 = 4,461.40 : x
  2. Step 2: Convert to fraction form
    5,109.40/7,664.10 = 4,461.40/x
  3. Step 3: Cross multiply
    5,109.40x = 7,664.10 × 4,461.40
  4. Step 4: Simplify right side
    5,109.40x = 34,192,615.74
  5. Step 5: Solve for x
    x = 34,192,615.74/5,109.40
  6. Step 6: Final answer
    x = 6,692.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.