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Finding the Fourth Proportional to 3,901.74, 5,846.01 and 2,359.50

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Solution

The fourth proportional to 3,901.74, 5,846.01 and 2,359.50 is: 3,535.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.74 : 5,846.01 = 2,359.50 : x
  2. Step 2: Convert to fraction form
    3,901.74/5,846.01 = 2,359.50/x
  3. Step 3: Cross multiply
    3,901.74x = 5,846.01 × 2,359.50
  4. Step 4: Simplify right side
    3,901.74x = 13,793,660.60
  5. Step 5: Solve for x
    x = 13,793,660.60/3,901.74
  6. Step 6: Final answer
    x = 3,535.26

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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.