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Finding the Fourth Proportional to 5,812.10, 8,718.08 and 1,429.60

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Solution

The fourth proportional to 5,812.10, 8,718.08 and 1,429.60 is: 2,144.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.10 : 8,718.08 = 1,429.60 : x
  2. Step 2: Convert to fraction form
    5,812.10/8,718.08 = 1,429.60/x
  3. Step 3: Cross multiply
    5,812.10x = 8,718.08 × 1,429.60
  4. Step 4: Simplify right side
    5,812.10x = 12,463,362.61
  5. Step 5: Solve for x
    x = 12,463,362.61/5,812.10
  6. Step 6: Final answer
    x = 2,144.38

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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.