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Finding the Fourth Proportional to 4,467.40, 6,165 and 2,477.91

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Solution

The fourth proportional to 4,467.40, 6,165 and 2,477.91 is: 3,419.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,467.40 : 6,165 = 2,477.91 : x
  2. Step 2: Convert to fraction form
    4,467.40/6,165 = 2,477.91/x
  3. Step 3: Cross multiply
    4,467.40x = 6,165 × 2,477.91
  4. Step 4: Simplify right side
    4,467.40x = 15,276,315.15
  5. Step 5: Solve for x
    x = 15,276,315.15/4,467.40
  6. Step 6: Final answer
    x = 3,419.51

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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.