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Finding the Fourth Proportional to 4,701.33, 7,052.67 and 1,580.67

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Solution

The fourth proportional to 4,701.33, 7,052.67 and 1,580.67 is: 2,371.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,701.33 : 7,052.67 = 1,580.67 : x
  2. Step 2: Convert to fraction form
    4,701.33/7,052.67 = 1,580.67/x
  3. Step 3: Cross multiply
    4,701.33x = 7,052.67 × 1,580.67
  4. Step 4: Simplify right side
    4,701.33x = 11,147,943.89
  5. Step 5: Solve for x
    x = 11,147,943.89/4,701.33
  6. Step 6: Final answer
    x = 2,371.23

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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.