Home / 5,286.25-7,930.59-1,823.50

Finding the Fourth Proportional to 5,286.25, 7,930.59 and 1,823.50

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Solution

The fourth proportional to 5,286.25, 7,930.59 and 1,823.50 is: 2,735.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.25 : 7,930.59 = 1,823.50 : x
  2. Step 2: Convert to fraction form
    5,286.25/7,930.59 = 1,823.50/x
  3. Step 3: Cross multiply
    5,286.25x = 7,930.59 × 1,823.50
  4. Step 4: Simplify right side
    5,286.25x = 14,461,430.87
  5. Step 5: Solve for x
    x = 14,461,430.87/5,286.25
  6. Step 6: Final answer
    x = 2,735.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.