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Finding the Fourth Proportional to 4,576.89, 6,865.34 and 1,114.11

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Solution

The fourth proportional to 4,576.89, 6,865.34 and 1,114.11 is: 1,671.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576.89 : 6,865.34 = 1,114.11 : x
  2. Step 2: Convert to fraction form
    4,576.89/6,865.34 = 1,114.11/x
  3. Step 3: Cross multiply
    4,576.89x = 6,865.34 × 1,114.11
  4. Step 4: Simplify right side
    4,576.89x = 7,648,738.38
  5. Step 5: Solve for x
    x = 7,648,738.38/4,576.89
  6. Step 6: Final answer
    x = 1,671.17

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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.