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Finding the Fourth Proportional to 4,625.64, 6,374.10 and 3,925.80

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Solution

The fourth proportional to 4,625.64, 6,374.10 and 3,925.80 is: 5,409.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,625.64 : 6,374.10 = 3,925.80 : x
  2. Step 2: Convert to fraction form
    4,625.64/6,374.10 = 3,925.80/x
  3. Step 3: Cross multiply
    4,625.64x = 6,374.10 × 3,925.80
  4. Step 4: Simplify right side
    4,625.64x = 25,023,441.78
  5. Step 5: Solve for x
    x = 25,023,441.78/4,625.64
  6. Step 6: Final answer
    x = 5,409.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.