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Finding the Fourth Proportional to 4,409.19, 6,084.74 and 2,419.70

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Solution

The fourth proportional to 4,409.19, 6,084.74 and 2,419.70 is: 3,339.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,409.19 : 6,084.74 = 2,419.70 : x
  2. Step 2: Convert to fraction form
    4,409.19/6,084.74 = 2,419.70/x
  3. Step 3: Cross multiply
    4,409.19x = 6,084.74 × 2,419.70
  4. Step 4: Simplify right side
    4,409.19x = 14,723,245.38
  5. Step 5: Solve for x
    x = 14,723,245.38/4,409.19
  6. Step 6: Final answer
    x = 3,339.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.