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Finding the Fourth Proportional to 3,186.39, 4,779.08 and 846.54

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Solution

The fourth proportional to 3,186.39, 4,779.08 and 846.54 is: 1,269.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.39 : 4,779.08 = 846.54 : x
  2. Step 2: Convert to fraction form
    3,186.39/4,779.08 = 846.54/x
  3. Step 3: Cross multiply
    3,186.39x = 4,779.08 × 846.54
  4. Step 4: Simplify right side
    3,186.39x = 4,045,678.15
  5. Step 5: Solve for x
    x = 4,045,678.15/3,186.39
  6. Step 6: Final answer
    x = 1,269.67

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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.