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Finding the Fourth Proportional to 3,874.50, 5,347.72 and 2,303.51

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Solution

The fourth proportional to 3,874.50, 5,347.72 and 2,303.51 is: 3,179.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.50 : 5,347.72 = 2,303.51 : x
  2. Step 2: Convert to fraction form
    3,874.50/5,347.72 = 2,303.51/x
  3. Step 3: Cross multiply
    3,874.50x = 5,347.72 × 2,303.51
  4. Step 4: Simplify right side
    3,874.50x = 12,318,502.64
  5. Step 5: Solve for x
    x = 12,318,502.64/3,874.50
  6. Step 6: Final answer
    x = 3,179.38

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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.