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Finding the Fourth Proportional to 5,396.63, 8,094.33 and 1,698.17

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Solution

The fourth proportional to 5,396.63, 8,094.33 and 1,698.17 is: 2,547.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,396.63 : 8,094.33 = 1,698.17 : x
  2. Step 2: Convert to fraction form
    5,396.63/8,094.33 = 1,698.17/x
  3. Step 3: Cross multiply
    5,396.63x = 8,094.33 × 1,698.17
  4. Step 4: Simplify right side
    5,396.63x = 13,745,507.90
  5. Step 5: Solve for x
    x = 13,745,507.90/5,396.63
  6. Step 6: Final answer
    x = 2,547.06

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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.