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Finding the Fourth Proportional to 5,810.50, 8,719.59 and 2,732.74

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Solution

The fourth proportional to 5,810.50, 8,719.59 and 2,732.74 is: 4,100.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,810.50 : 8,719.59 = 2,732.74 : x
  2. Step 2: Convert to fraction form
    5,810.50/8,719.59 = 2,732.74/x
  3. Step 3: Cross multiply
    5,810.50x = 8,719.59 × 2,732.74
  4. Step 4: Simplify right side
    5,810.50x = 23,828,372.38
  5. Step 5: Solve for x
    x = 23,828,372.38/5,810.50
  6. Step 6: Final answer
    x = 4,100.92

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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.