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Finding the Fourth Proportional to 5,141.50, 7,701.93 and 2,364.30

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Solution

The fourth proportional to 5,141.50, 7,701.93 and 2,364.30 is: 3,541.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,141.50 : 7,701.93 = 2,364.30 : x
  2. Step 2: Convert to fraction form
    5,141.50/7,701.93 = 2,364.30/x
  3. Step 3: Cross multiply
    5,141.50x = 7,701.93 × 2,364.30
  4. Step 4: Simplify right side
    5,141.50x = 18,209,673.10
  5. Step 5: Solve for x
    x = 18,209,673.10/5,141.50
  6. Step 6: Final answer
    x = 3,541.71

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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.