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Finding the Fourth Proportional to 4,841.70, 7,278.55 and 4,208.10

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Solution

The fourth proportional to 4,841.70, 7,278.55 and 4,208.10 is: 6,326.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,841.70 : 7,278.55 = 4,208.10 : x
  2. Step 2: Convert to fraction form
    4,841.70/7,278.55 = 4,208.10/x
  3. Step 3: Cross multiply
    4,841.70x = 7,278.55 × 4,208.10
  4. Step 4: Simplify right side
    4,841.70x = 30,628,866.26
  5. Step 5: Solve for x
    x = 30,628,866.26/4,841.70
  6. Step 6: Final answer
    x = 6,326.06

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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.