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Finding the Fourth Proportional to 5,233.45, 7,851.14 and 1,723.67

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Solution

The fourth proportional to 5,233.45, 7,851.14 and 1,723.67 is: 2,585.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,233.45 : 7,851.14 = 1,723.67 : x
  2. Step 2: Convert to fraction form
    5,233.45/7,851.14 = 1,723.67/x
  3. Step 3: Cross multiply
    5,233.45x = 7,851.14 × 1,723.67
  4. Step 4: Simplify right side
    5,233.45x = 13,532,774.48
  5. Step 5: Solve for x
    x = 13,532,774.48/5,233.45
  6. Step 6: Final answer
    x = 2,585.82

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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.