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Finding the Fourth Proportional to 5,407.76, 8,106.48 and 2,119.76

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Solution

The fourth proportional to 5,407.76, 8,106.48 and 2,119.76 is: 3,177.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.76 : 8,106.48 = 2,119.76 : x
  2. Step 2: Convert to fraction form
    5,407.76/8,106.48 = 2,119.76/x
  3. Step 3: Cross multiply
    5,407.76x = 8,106.48 × 2,119.76
  4. Step 4: Simplify right side
    5,407.76x = 17,183,792.04
  5. Step 5: Solve for x
    x = 17,183,792.04/5,407.76
  6. Step 6: Final answer
    x = 3,177.62

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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.