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Finding the Fourth Proportional to 4,768.38, 6,580.95 and 3,000.06

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Solution

The fourth proportional to 4,768.38, 6,580.95 and 3,000.06 is: 4,140.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.38 : 6,580.95 = 3,000.06 : x
  2. Step 2: Convert to fraction form
    4,768.38/6,580.95 = 3,000.06/x
  3. Step 3: Cross multiply
    4,768.38x = 6,580.95 × 3,000.06
  4. Step 4: Simplify right side
    4,768.38x = 19,743,244.86
  5. Step 5: Solve for x
    x = 19,743,244.86/4,768.38
  6. Step 6: Final answer
    x = 4,140.45

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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.