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Finding the Fourth Proportional to 5,812.16, 8,718.10 and 1,429.65

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Solution

The fourth proportional to 5,812.16, 8,718.10 and 1,429.65 is: 2,144.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.16 : 8,718.10 = 1,429.65 : x
  2. Step 2: Convert to fraction form
    5,812.16/8,718.10 = 1,429.65/x
  3. Step 3: Cross multiply
    5,812.16x = 8,718.10 × 1,429.65
  4. Step 4: Simplify right side
    5,812.16x = 12,463,828.09
  5. Step 5: Solve for x
    x = 12,463,828.09/5,812.16
  6. Step 6: Final answer
    x = 2,144.44

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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.