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Finding the Fourth Proportional to 3,230.77, 4,846.56 and 1,587.37

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Solution

The fourth proportional to 3,230.77, 4,846.56 and 1,587.37 is: 2,381.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230.77 : 4,846.56 = 1,587.37 : x
  2. Step 2: Convert to fraction form
    3,230.77/4,846.56 = 1,587.37/x
  3. Step 3: Cross multiply
    3,230.77x = 4,846.56 × 1,587.37
  4. Step 4: Simplify right side
    3,230.77x = 7,693,283.95
  5. Step 5: Solve for x
    x = 7,693,283.95/3,230.77
  6. Step 6: Final answer
    x = 2,381.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.