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Finding the Fourth Proportional to 5,886.96, 8,831.40 and 1,782

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Solution

The fourth proportional to 5,886.96, 8,831.40 and 1,782 is: 2,673.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886.96 : 8,831.40 = 1,782 : x
  2. Step 2: Convert to fraction form
    5,886.96/8,831.40 = 1,782/x
  3. Step 3: Cross multiply
    5,886.96x = 8,831.40 × 1,782
  4. Step 4: Simplify right side
    5,886.96x = 15,737,554.80
  5. Step 5: Solve for x
    x = 15,737,554.80/5,886.96
  6. Step 6: Final answer
    x = 2,673.29

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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.