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Finding the Fourth Proportional to 4,984.41, 7,462.14 and 2,898.06

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Solution

The fourth proportional to 4,984.41, 7,462.14 and 2,898.06 is: 4,338.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,984.41 : 7,462.14 = 2,898.06 : x
  2. Step 2: Convert to fraction form
    4,984.41/7,462.14 = 2,898.06/x
  3. Step 3: Cross multiply
    4,984.41x = 7,462.14 × 2,898.06
  4. Step 4: Simplify right side
    4,984.41x = 21,625,729.45
  5. Step 5: Solve for x
    x = 21,625,729.45/4,984.41
  6. Step 6: Final answer
    x = 4,338.67

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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.