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Finding the Fourth Proportional to 3,895.34, 5,374.69 and 2,323.13

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Solution

The fourth proportional to 3,895.34, 5,374.69 and 2,323.13 is: 3,205.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,895.34 : 5,374.69 = 2,323.13 : x
  2. Step 2: Convert to fraction form
    3,895.34/5,374.69 = 2,323.13/x
  3. Step 3: Cross multiply
    3,895.34x = 5,374.69 × 2,323.13
  4. Step 4: Simplify right side
    3,895.34x = 12,486,070.90
  5. Step 5: Solve for x
    x = 12,486,070.90/3,895.34
  6. Step 6: Final answer
    x = 3,205.39

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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.