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Finding the Fourth Proportional to 4,641.63, 6,962.76 and 1,520.81

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Solution

The fourth proportional to 4,641.63, 6,962.76 and 1,520.81 is: 2,281.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.63 : 6,962.76 = 1,520.81 : x
  2. Step 2: Convert to fraction form
    4,641.63/6,962.76 = 1,520.81/x
  3. Step 3: Cross multiply
    4,641.63x = 6,962.76 × 1,520.81
  4. Step 4: Simplify right side
    4,641.63x = 10,589,052.44
  5. Step 5: Solve for x
    x = 10,589,052.44/4,641.63
  6. Step 6: Final answer
    x = 2,281.32

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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.