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Finding the Fourth Proportional to 5,106.89, 7,659.72 and 2,332.81

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Solution

The fourth proportional to 5,106.89, 7,659.72 and 2,332.81 is: 3,498.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,106.89 : 7,659.72 = 2,332.81 : x
  2. Step 2: Convert to fraction form
    5,106.89/7,659.72 = 2,332.81/x
  3. Step 3: Cross multiply
    5,106.89x = 7,659.72 × 2,332.81
  4. Step 4: Simplify right side
    5,106.89x = 17,868,671.41
  5. Step 5: Solve for x
    x = 17,868,671.41/5,106.89
  6. Step 6: Final answer
    x = 3,498.93

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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.