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Finding the Fourth Proportional to 3,588.77, 4,957.21 and 2,467.77

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Solution

The fourth proportional to 3,588.77, 4,957.21 and 2,467.77 is: 3,408.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.77 : 4,957.21 = 2,467.77 : x
  2. Step 2: Convert to fraction form
    3,588.77/4,957.21 = 2,467.77/x
  3. Step 3: Cross multiply
    3,588.77x = 4,957.21 × 2,467.77
  4. Step 4: Simplify right side
    3,588.77x = 12,233,254.12
  5. Step 5: Solve for x
    x = 12,233,254.12/3,588.77
  6. Step 6: Final answer
    x = 3,408.76

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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.