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Finding the Fourth Proportional to 5,834.77, 8,051.69 and 3,316.55

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Solution

The fourth proportional to 5,834.77, 8,051.69 and 3,316.55 is: 4,576.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.77 : 8,051.69 = 3,316.55 : x
  2. Step 2: Convert to fraction form
    5,834.77/8,051.69 = 3,316.55/x
  3. Step 3: Cross multiply
    5,834.77x = 8,051.69 × 3,316.55
  4. Step 4: Simplify right side
    5,834.77x = 26,703,775.63
  5. Step 5: Solve for x
    x = 26,703,775.63/5,834.77
  6. Step 6: Final answer
    x = 4,576.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.