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Finding the Fourth Proportional to 3,547.56, 4,896.02 and 2,150.28

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Solution

The fourth proportional to 3,547.56, 4,896.02 and 2,150.28 is: 2,967.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.56 : 4,896.02 = 2,150.28 : x
  2. Step 2: Convert to fraction form
    3,547.56/4,896.02 = 2,150.28/x
  3. Step 3: Cross multiply
    3,547.56x = 4,896.02 × 2,150.28
  4. Step 4: Simplify right side
    3,547.56x = 10,527,813.89
  5. Step 5: Solve for x
    x = 10,527,813.89/3,547.56
  6. Step 6: Final answer
    x = 2,967.62

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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.