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Finding the Fourth Proportional to 5,786.23, 7,983.24 and 3,547.29

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Solution

The fourth proportional to 5,786.23, 7,983.24 and 3,547.29 is: 4,894.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.23 : 7,983.24 = 3,547.29 : x
  2. Step 2: Convert to fraction form
    5,786.23/7,983.24 = 3,547.29/x
  3. Step 3: Cross multiply
    5,786.23x = 7,983.24 × 3,547.29
  4. Step 4: Simplify right side
    5,786.23x = 28,318,867.42
  5. Step 5: Solve for x
    x = 28,318,867.42/5,786.23
  6. Step 6: Final answer
    x = 4,894.18

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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.