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Finding the Fourth Proportional to 5,694.10, 8,541.96 and 1,798

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Solution

The fourth proportional to 5,694.10, 8,541.96 and 1,798 is: 2,697.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.10 : 8,541.96 = 1,798 : x
  2. Step 2: Convert to fraction form
    5,694.10/8,541.96 = 1,798/x
  3. Step 3: Cross multiply
    5,694.10x = 8,541.96 × 1,798
  4. Step 4: Simplify right side
    5,694.10x = 15,358,444.08
  5. Step 5: Solve for x
    x = 15,358,444.08/5,694.10
  6. Step 6: Final answer
    x = 2,697.26

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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.