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Finding the Fourth Proportional to 3,547.72, 4,896.22 and 2,055.58

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Solution

The fourth proportional to 3,547.72, 4,896.22 and 2,055.58 is: 2,836.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.72 : 4,896.22 = 2,055.58 : x
  2. Step 2: Convert to fraction form
    3,547.72/4,896.22 = 2,055.58/x
  3. Step 3: Cross multiply
    3,547.72x = 4,896.22 × 2,055.58
  4. Step 4: Simplify right side
    3,547.72x = 10,064,571.91
  5. Step 5: Solve for x
    x = 10,064,571.91/3,547.72
  6. Step 6: Final answer
    x = 2,836.91

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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.