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Finding the Fourth Proportional to 3,460.19, 4,775.07 and 1,968.21

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Solution

The fourth proportional to 3,460.19, 4,775.07 and 1,968.21 is: 2,716.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.19 : 4,775.07 = 1,968.21 : x
  2. Step 2: Convert to fraction form
    3,460.19/4,775.07 = 1,968.21/x
  3. Step 3: Cross multiply
    3,460.19x = 4,775.07 × 1,968.21
  4. Step 4: Simplify right side
    3,460.19x = 9,398,315.24
  5. Step 5: Solve for x
    x = 9,398,315.24/3,460.19
  6. Step 6: Final answer
    x = 2,716.13

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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.