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Finding the Fourth Proportional to 3,805.72, 5,707.89 and 1,032.01

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Solution

The fourth proportional to 3,805.72, 5,707.89 and 1,032.01 is: 1,547.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.72 : 5,707.89 = 1,032.01 : x
  2. Step 2: Convert to fraction form
    3,805.72/5,707.89 = 1,032.01/x
  3. Step 3: Cross multiply
    3,805.72x = 5,707.89 × 1,032.01
  4. Step 4: Simplify right side
    3,805.72x = 5,890,585.29
  5. Step 5: Solve for x
    x = 5,890,585.29/3,805.72
  6. Step 6: Final answer
    x = 1,547.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.