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Finding the Fourth Proportional to 3,747.23, 5,620.85 and 973.67

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Solution

The fourth proportional to 3,747.23, 5,620.85 and 973.67 is: 1,460.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.23 : 5,620.85 = 973.67 : x
  2. Step 2: Convert to fraction form
    3,747.23/5,620.85 = 973.67/x
  3. Step 3: Cross multiply
    3,747.23x = 5,620.85 × 973.67
  4. Step 4: Simplify right side
    3,747.23x = 5,472,834.10
  5. Step 5: Solve for x
    x = 5,472,834.10/3,747.23
  6. Step 6: Final answer
    x = 1,460.50

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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.