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Finding the Fourth Proportional to 5,409.41, 8,114.00 and 1,513.71

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Solution

The fourth proportional to 5,409.41, 8,114.00 and 1,513.71 is: 2,270.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.41 : 8,114.00 = 1,513.71 : x
  2. Step 2: Convert to fraction form
    5,409.41/8,114.00 = 1,513.71/x
  3. Step 3: Cross multiply
    5,409.41x = 8,114.00 × 1,513.71
  4. Step 4: Simplify right side
    5,409.41x = 12,282,235.37
  5. Step 5: Solve for x
    x = 12,282,235.37/5,409.41
  6. Step 6: Final answer
    x = 2,270.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.