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Finding the Fourth Proportional to 5,830.71, 8,046.13 and 3,312.81

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Solution

The fourth proportional to 5,830.71, 8,046.13 and 3,312.81 is: 4,571.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.71 : 8,046.13 = 3,312.81 : x
  2. Step 2: Convert to fraction form
    5,830.71/8,046.13 = 3,312.81/x
  3. Step 3: Cross multiply
    5,830.71x = 8,046.13 × 3,312.81
  4. Step 4: Simplify right side
    5,830.71x = 26,655,299.93
  5. Step 5: Solve for x
    x = 26,655,299.93/5,830.71
  6. Step 6: Final answer
    x = 4,571.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.