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Finding the Fourth Proportional to 4,898.48, 7,349.64 and 1,822.64

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Solution

The fourth proportional to 4,898.48, 7,349.64 and 1,822.64 is: 2,734.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,898.48 : 7,349.64 = 1,822.64 : x
  2. Step 2: Convert to fraction form
    4,898.48/7,349.64 = 1,822.64/x
  3. Step 3: Cross multiply
    4,898.48x = 7,349.64 × 1,822.64
  4. Step 4: Simplify right side
    4,898.48x = 13,395,747.85
  5. Step 5: Solve for x
    x = 13,395,747.85/4,898.48
  6. Step 6: Final answer
    x = 2,734.67

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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.