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Finding the Fourth Proportional to 3,605.14, 4,975.06 and 1,949.14

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Solution

The fourth proportional to 3,605.14, 4,975.06 and 1,949.14 is: 2,689.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.14 : 4,975.06 = 1,949.14 : x
  2. Step 2: Convert to fraction form
    3,605.14/4,975.06 = 1,949.14/x
  3. Step 3: Cross multiply
    3,605.14x = 4,975.06 × 1,949.14
  4. Step 4: Simplify right side
    3,605.14x = 9,697,088.45
  5. Step 5: Solve for x
    x = 9,697,088.45/3,605.14
  6. Step 6: Final answer
    x = 2,689.80

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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.