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Finding the Fourth Proportional to 4,852.58, 6,689.51 and 3,431.84

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Solution

The fourth proportional to 4,852.58, 6,689.51 and 3,431.84 is: 4,730.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,852.58 : 6,689.51 = 3,431.84 : x
  2. Step 2: Convert to fraction form
    4,852.58/6,689.51 = 3,431.84/x
  3. Step 3: Cross multiply
    4,852.58x = 6,689.51 × 3,431.84
  4. Step 4: Simplify right side
    4,852.58x = 22,957,327.56
  5. Step 5: Solve for x
    x = 22,957,327.56/4,852.58
  6. Step 6: Final answer
    x = 4,730.95

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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.