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Finding the Fourth Proportional to 5,106.66, 7,659.92 and 1,408.81

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Solution

The fourth proportional to 5,106.66, 7,659.92 and 1,408.81 is: 2,113.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,106.66 : 7,659.92 = 1,408.81 : x
  2. Step 2: Convert to fraction form
    5,106.66/7,659.92 = 1,408.81/x
  3. Step 3: Cross multiply
    5,106.66x = 7,659.92 × 1,408.81
  4. Step 4: Simplify right side
    5,106.66x = 10,791,362.71
  5. Step 5: Solve for x
    x = 10,791,362.71/5,106.66
  6. Step 6: Final answer
    x = 2,113.19

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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.