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Finding the Fourth Proportional to 4,435.41, 6,120.72 and 2,446

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Solution

The fourth proportional to 4,435.41, 6,120.72 and 2,446 is: 3,375.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,435.41 : 6,120.72 = 2,446 : x
  2. Step 2: Convert to fraction form
    4,435.41/6,120.72 = 2,446/x
  3. Step 3: Cross multiply
    4,435.41x = 6,120.72 × 2,446
  4. Step 4: Simplify right side
    4,435.41x = 14,971,281.12
  5. Step 5: Solve for x
    x = 14,971,281.12/4,435.41
  6. Step 6: Final answer
    x = 3,375.40

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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.