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Finding the Fourth Proportional to 3,547.43, 4,896.05 and 2,706.54

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Solution

The fourth proportional to 3,547.43, 4,896.05 and 2,706.54 is: 3,735.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.43 : 4,896.05 = 2,706.54 : x
  2. Step 2: Convert to fraction form
    3,547.43/4,896.05 = 2,706.54/x
  3. Step 3: Cross multiply
    3,547.43x = 4,896.05 × 2,706.54
  4. Step 4: Simplify right side
    3,547.43x = 13,251,341.63
  5. Step 5: Solve for x
    x = 13,251,341.63/3,547.43
  6. Step 6: Final answer
    x = 3,735.48

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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.