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Finding the Fourth Proportional to 3,482.36, 4,805.74 and 1,910.46

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Solution

The fourth proportional to 3,482.36, 4,805.74 and 1,910.46 is: 2,636.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.36 : 4,805.74 = 1,910.46 : x
  2. Step 2: Convert to fraction form
    3,482.36/4,805.74 = 1,910.46/x
  3. Step 3: Cross multiply
    3,482.36x = 4,805.74 × 1,910.46
  4. Step 4: Simplify right side
    3,482.36x = 9,181,140.46
  5. Step 5: Solve for x
    x = 9,181,140.46/3,482.36
  6. Step 6: Final answer
    x = 2,636.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.