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Finding the Fourth Proportional to 3,605.20, 4,975.16 and 1,949.20

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Solution

The fourth proportional to 3,605.20, 4,975.16 and 1,949.20 is: 2,689.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.20 : 4,975.16 = 1,949.20 : x
  2. Step 2: Convert to fraction form
    3,605.20/4,975.16 = 1,949.20/x
  3. Step 3: Cross multiply
    3,605.20x = 4,975.16 × 1,949.20
  4. Step 4: Simplify right side
    3,605.20x = 9,697,547.25
  5. Step 5: Solve for x
    x = 9,697,547.25/3,605.20
  6. Step 6: Final answer
    x = 2,689.88

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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.