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Finding the Fourth Proportional to 4,673.58, 6,449.36 and 2,577.71

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Solution

The fourth proportional to 4,673.58, 6,449.36 and 2,577.71 is: 3,557.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.58 : 6,449.36 = 2,577.71 : x
  2. Step 2: Convert to fraction form
    4,673.58/6,449.36 = 2,577.71/x
  3. Step 3: Cross multiply
    4,673.58x = 6,449.36 × 2,577.71
  4. Step 4: Simplify right side
    4,673.58x = 16,624,578.15
  5. Step 5: Solve for x
    x = 16,624,578.15/4,673.58
  6. Step 6: Final answer
    x = 3,557.14

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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.