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Finding the Fourth Proportional to 5,946.98, 8,206.82 and 3,294.40

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Solution

The fourth proportional to 5,946.98, 8,206.82 and 3,294.40 is: 4,546.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946.98 : 8,206.82 = 3,294.40 : x
  2. Step 2: Convert to fraction form
    5,946.98/8,206.82 = 3,294.40/x
  3. Step 3: Cross multiply
    5,946.98x = 8,206.82 × 3,294.40
  4. Step 4: Simplify right side
    5,946.98x = 27,036,547.81
  5. Step 5: Solve for x
    x = 27,036,547.81/5,946.98
  6. Step 6: Final answer
    x = 4,546.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.