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Finding the Fourth Proportional to 5,678.57, 8,506.91 and 4,639.74

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Solution

The fourth proportional to 5,678.57, 8,506.91 and 4,639.74 is: 6,950.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.57 : 8,506.91 = 4,639.74 : x
  2. Step 2: Convert to fraction form
    5,678.57/8,506.91 = 4,639.74/x
  3. Step 3: Cross multiply
    5,678.57x = 8,506.91 × 4,639.74
  4. Step 4: Simplify right side
    5,678.57x = 39,469,827.40
  5. Step 5: Solve for x
    x = 39,469,827.40/5,678.57
  6. Step 6: Final answer
    x = 6,950.67

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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.