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Finding the Fourth Proportional to 5,751.04, 7,918.25 and 5,225.50

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Solution

The fourth proportional to 5,751.04, 7,918.25 and 5,225.50 is: 7,194.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,751.04 : 7,918.25 = 5,225.50 : x
  2. Step 2: Convert to fraction form
    5,751.04/7,918.25 = 5,225.50/x
  3. Step 3: Cross multiply
    5,751.04x = 7,918.25 × 5,225.50
  4. Step 4: Simplify right side
    5,751.04x = 41,376,815.38
  5. Step 5: Solve for x
    x = 41,376,815.38/5,751.04
  6. Step 6: Final answer
    x = 7,194.67

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Why These Related Problems?

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