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Finding the Fourth Proportional to 3,750.89, 5,626.33 and 977.55

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Solution

The fourth proportional to 3,750.89, 5,626.33 and 977.55 is: 1,466.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,750.89 : 5,626.33 = 977.55 : x
  2. Step 2: Convert to fraction form
    3,750.89/5,626.33 = 977.55/x
  3. Step 3: Cross multiply
    3,750.89x = 5,626.33 × 977.55
  4. Step 4: Simplify right side
    3,750.89x = 5,500,035.40
  5. Step 5: Solve for x
    x = 5,500,035.40/3,750.89
  6. Step 6: Final answer
    x = 1,466.33

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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.