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Finding the Fourth Proportional to 3,507.76, 4,840.68 and 1,914.43

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Solution

The fourth proportional to 3,507.76, 4,840.68 and 1,914.43 is: 2,641.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507.76 : 4,840.68 = 1,914.43 : x
  2. Step 2: Convert to fraction form
    3,507.76/4,840.68 = 1,914.43/x
  3. Step 3: Cross multiply
    3,507.76x = 4,840.68 × 1,914.43
  4. Step 4: Simplify right side
    3,507.76x = 9,267,143.01
  5. Step 5: Solve for x
    x = 9,267,143.01/3,507.76
  6. Step 6: Final answer
    x = 2,641.90

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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.