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Finding the Fourth Proportional to 4,656.87, 6,980.63 and 2,313.27

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Solution

The fourth proportional to 4,656.87, 6,980.63 and 2,313.27 is: 3,467.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.87 : 6,980.63 = 2,313.27 : x
  2. Step 2: Convert to fraction form
    4,656.87/6,980.63 = 2,313.27/x
  3. Step 3: Cross multiply
    4,656.87x = 6,980.63 × 2,313.27
  4. Step 4: Simplify right side
    4,656.87x = 16,148,083.41
  5. Step 5: Solve for x
    x = 16,148,083.41/4,656.87
  6. Step 6: Final answer
    x = 3,467.58

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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.