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Finding the Fourth Proportional to 4,626.69, 6,934.00 and 4,040.30

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Solution

The fourth proportional to 4,626.69, 6,934.00 and 4,040.30 is: 6,055.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,626.69 : 6,934.00 = 4,040.30 : x
  2. Step 2: Convert to fraction form
    4,626.69/6,934.00 = 4,040.30/x
  3. Step 3: Cross multiply
    4,626.69x = 6,934.00 × 4,040.30
  4. Step 4: Simplify right side
    4,626.69x = 28,015,420.00
  5. Step 5: Solve for x
    x = 28,015,420.00/4,626.69
  6. Step 6: Final answer
    x = 6,055.18

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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.