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Finding the Fourth Proportional to 3,843.64, 5,303.05 and 2,350

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Solution

The fourth proportional to 3,843.64, 5,303.05 and 2,350 is: 3,242.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.64 : 5,303.05 = 2,350 : x
  2. Step 2: Convert to fraction form
    3,843.64/5,303.05 = 2,350/x
  3. Step 3: Cross multiply
    3,843.64x = 5,303.05 × 2,350
  4. Step 4: Simplify right side
    3,843.64x = 12,462,167.50
  5. Step 5: Solve for x
    x = 12,462,167.50/3,843.64
  6. Step 6: Final answer
    x = 3,242.28

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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.