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Finding the Fourth Proportional to 4,670.75, 7,006.14 and 1,208.00

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Solution

The fourth proportional to 4,670.75, 7,006.14 and 1,208.00 is: 1,812.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670.75 : 7,006.14 = 1,208.00 : x
  2. Step 2: Convert to fraction form
    4,670.75/7,006.14 = 1,208.00/x
  3. Step 3: Cross multiply
    4,670.75x = 7,006.14 × 1,208.00
  4. Step 4: Simplify right side
    4,670.75x = 8,463,382.09
  5. Step 5: Solve for x
    x = 8,463,382.09/4,670.75
  6. Step 6: Final answer
    x = 1,812.00

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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.