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Finding the Fourth Proportional to 3,780.46, 5,668.74 and 1,698.68

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Solution

The fourth proportional to 3,780.46, 5,668.74 and 1,698.68 is: 2,547.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.46 : 5,668.74 = 1,698.68 : x
  2. Step 2: Convert to fraction form
    3,780.46/5,668.74 = 1,698.68/x
  3. Step 3: Cross multiply
    3,780.46x = 5,668.74 × 1,698.68
  4. Step 4: Simplify right side
    3,780.46x = 9,629,389.44
  5. Step 5: Solve for x
    x = 9,629,389.44/3,780.46
  6. Step 6: Final answer
    x = 2,547.15

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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.