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Finding the Fourth Proportional to 4,640.39, 6,962.40 and 2,041.50

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Solution

The fourth proportional to 4,640.39, 6,962.40 and 2,041.50 is: 3,063.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.39 : 6,962.40 = 2,041.50 : x
  2. Step 2: Convert to fraction form
    4,640.39/6,962.40 = 2,041.50/x
  3. Step 3: Cross multiply
    4,640.39x = 6,962.40 × 2,041.50
  4. Step 4: Simplify right side
    4,640.39x = 14,213,739.60
  5. Step 5: Solve for x
    x = 14,213,739.60/4,640.39
  6. Step 6: Final answer
    x = 3,063.05

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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.