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Finding the Fourth Proportional to 4,130, 6,196.12 and 1,208.28

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Solution

The fourth proportional to 4,130, 6,196.12 and 1,208.28 is: 1,812.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,130 : 6,196.12 = 1,208.28 : x
  2. Step 2: Convert to fraction form
    4,130/6,196.12 = 1,208.28/x
  3. Step 3: Cross multiply
    4,130x = 6,196.12 × 1,208.28
  4. Step 4: Simplify right side
    4,130x = 7,486,647.87
  5. Step 5: Solve for x
    x = 7,486,647.87/4,130
  6. Step 6: Final answer
    x = 1,812.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.