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Finding the Fourth Proportional to 3,774.47, 5,661.51 and 1,798.65

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Solution

The fourth proportional to 3,774.47, 5,661.51 and 1,798.65 is: 2,697.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.47 : 5,661.51 = 1,798.65 : x
  2. Step 2: Convert to fraction form
    3,774.47/5,661.51 = 1,798.65/x
  3. Step 3: Cross multiply
    3,774.47x = 5,661.51 × 1,798.65
  4. Step 4: Simplify right side
    3,774.47x = 10,183,068.22
  5. Step 5: Solve for x
    x = 10,183,068.22/3,774.47
  6. Step 6: Final answer
    x = 2,697.88

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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.