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Finding the Fourth Proportional to 5,083.34, 7,625.40 and 1,573.70

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Solution

The fourth proportional to 5,083.34, 7,625.40 and 1,573.70 is: 2,360.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,083.34 : 7,625.40 = 1,573.70 : x
  2. Step 2: Convert to fraction form
    5,083.34/7,625.40 = 1,573.70/x
  3. Step 3: Cross multiply
    5,083.34x = 7,625.40 × 1,573.70
  4. Step 4: Simplify right side
    5,083.34x = 12,000,091.98
  5. Step 5: Solve for x
    x = 12,000,091.98/5,083.34
  6. Step 6: Final answer
    x = 2,360.67

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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.