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Finding the Fourth Proportional to 5,812.19, 8,718.21 and 1,429.69

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Solution

The fourth proportional to 5,812.19, 8,718.21 and 1,429.69 is: 2,144.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.19 : 8,718.21 = 1,429.69 : x
  2. Step 2: Convert to fraction form
    5,812.19/8,718.21 = 1,429.69/x
  3. Step 3: Cross multiply
    5,812.19x = 8,718.21 × 1,429.69
  4. Step 4: Simplify right side
    5,812.19x = 12,464,294.06
  5. Step 5: Solve for x
    x = 12,464,294.06/5,812.19
  6. Step 6: Final answer
    x = 2,144.51

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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.