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Finding the Fourth Proportional to 3,840.64, 5,300.69 and 2,349.43

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Solution

The fourth proportional to 3,840.64, 5,300.69 and 2,349.43 is: 3,242.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.64 : 5,300.69 = 2,349.43 : x
  2. Step 2: Convert to fraction form
    3,840.64/5,300.69 = 2,349.43/x
  3. Step 3: Cross multiply
    3,840.64x = 5,300.69 × 2,349.43
  4. Step 4: Simplify right side
    3,840.64x = 12,453,600.11
  5. Step 5: Solve for x
    x = 12,453,600.11/3,840.64
  6. Step 6: Final answer
    x = 3,242.58

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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.