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Finding the Fourth Proportional to 4,317.84, 6,478.18 and 1,396.17

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Solution

The fourth proportional to 4,317.84, 6,478.18 and 1,396.17 is: 2,094.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,317.84 : 6,478.18 = 1,396.17 : x
  2. Step 2: Convert to fraction form
    4,317.84/6,478.18 = 1,396.17/x
  3. Step 3: Cross multiply
    4,317.84x = 6,478.18 × 1,396.17
  4. Step 4: Simplify right side
    4,317.84x = 9,044,637.08
  5. Step 5: Solve for x
    x = 9,044,637.08/4,317.84
  6. Step 6: Final answer
    x = 2,094.71

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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.