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Finding the Fourth Proportional to 5,811.58, 8,717.29 and 1,429.07

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Solution

The fourth proportional to 5,811.58, 8,717.29 and 1,429.07 is: 2,143.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.58 : 8,717.29 = 1,429.07 : x
  2. Step 2: Convert to fraction form
    5,811.58/8,717.29 = 1,429.07/x
  3. Step 3: Cross multiply
    5,811.58x = 8,717.29 × 1,429.07
  4. Step 4: Simplify right side
    5,811.58x = 12,457,635.84
  5. Step 5: Solve for x
    x = 12,457,635.84/5,811.58
  6. Step 6: Final answer
    x = 2,143.59

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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.