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Finding the Fourth Proportional to 3,547.73, 4,896.02 and 1,975.81

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Solution

The fourth proportional to 3,547.73, 4,896.02 and 1,975.81 is: 2,726.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.73 : 4,896.02 = 1,975.81 : x
  2. Step 2: Convert to fraction form
    3,547.73/4,896.02 = 1,975.81/x
  3. Step 3: Cross multiply
    3,547.73x = 4,896.02 × 1,975.81
  4. Step 4: Simplify right side
    3,547.73x = 9,673,605.28
  5. Step 5: Solve for x
    x = 9,673,605.28/3,547.73
  6. Step 6: Final answer
    x = 2,726.70

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Why These Related Problems?

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