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Finding the Fourth Proportional to 4,830.03, 6,663.81 and 3,061.38

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Solution

The fourth proportional to 4,830.03, 6,663.81 and 3,061.38 is: 4,223.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,830.03 : 6,663.81 = 3,061.38 : x
  2. Step 2: Convert to fraction form
    4,830.03/6,663.81 = 3,061.38/x
  3. Step 3: Cross multiply
    4,830.03x = 6,663.81 × 3,061.38
  4. Step 4: Simplify right side
    4,830.03x = 20,400,454.66
  5. Step 5: Solve for x
    x = 20,400,454.66/4,830.03
  6. Step 6: Final answer
    x = 4,223.67

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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.