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Finding the Fourth Proportional to 5,113.32, 7,668.45 and 1,825.67

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Solution

The fourth proportional to 5,113.32, 7,668.45 and 1,825.67 is: 2,737.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113.32 : 7,668.45 = 1,825.67 : x
  2. Step 2: Convert to fraction form
    5,113.32/7,668.45 = 1,825.67/x
  3. Step 3: Cross multiply
    5,113.32x = 7,668.45 × 1,825.67
  4. Step 4: Simplify right side
    5,113.32x = 14,000,020.77
  5. Step 5: Solve for x
    x = 14,000,020.77/5,113.32
  6. Step 6: Final answer
    x = 2,737.95

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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.