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Finding the Fourth Proportional to 3,966.40, 5,951.03 and 2,409.58

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Solution

The fourth proportional to 3,966.40, 5,951.03 and 2,409.58 is: 3,615.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.40 : 5,951.03 = 2,409.58 : x
  2. Step 2: Convert to fraction form
    3,966.40/5,951.03 = 2,409.58/x
  3. Step 3: Cross multiply
    3,966.40x = 5,951.03 × 2,409.58
  4. Step 4: Simplify right side
    3,966.40x = 14,339,482.87
  5. Step 5: Solve for x
    x = 14,339,482.87/3,966.40
  6. Step 6: Final answer
    x = 3,615.24

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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.