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Finding the Fourth Proportional to 5,838.69, 8,758.48 and 1,678.67

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Solution

The fourth proportional to 5,838.69, 8,758.48 and 1,678.67 is: 2,518.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,838.69 : 8,758.48 = 1,678.67 : x
  2. Step 2: Convert to fraction form
    5,838.69/8,758.48 = 1,678.67/x
  3. Step 3: Cross multiply
    5,838.69x = 8,758.48 × 1,678.67
  4. Step 4: Simplify right side
    5,838.69x = 14,702,589.23
  5. Step 5: Solve for x
    x = 14,702,589.23/5,838.69
  6. Step 6: Final answer
    x = 2,518.13

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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.