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Finding the Fourth Proportional to 3,705.45, 5,547.26 and 1,946.27

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Solution

The fourth proportional to 3,705.45, 5,547.26 and 1,946.27 is: 2,913.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.45 : 5,547.26 = 1,946.27 : x
  2. Step 2: Convert to fraction form
    3,705.45/5,547.26 = 1,946.27/x
  3. Step 3: Cross multiply
    3,705.45x = 5,547.26 × 1,946.27
  4. Step 4: Simplify right side
    3,705.45x = 10,796,428.25
  5. Step 5: Solve for x
    x = 10,796,428.25/3,705.45
  6. Step 6: Final answer
    x = 2,913.66

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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.