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Finding the Fourth Proportional to 3,295.29, 4,547.37 and 1,969.73

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Solution

The fourth proportional to 3,295.29, 4,547.37 and 1,969.73 is: 2,718.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,295.29 : 4,547.37 = 1,969.73 : x
  2. Step 2: Convert to fraction form
    3,295.29/4,547.37 = 1,969.73/x
  3. Step 3: Cross multiply
    3,295.29x = 4,547.37 × 1,969.73
  4. Step 4: Simplify right side
    3,295.29x = 8,957,074.82
  5. Step 5: Solve for x
    x = 8,957,074.82/3,295.29
  6. Step 6: Final answer
    x = 2,718.14

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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.