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Finding the Fourth Proportional to 4,651.60, 6,976.16 and 2,185.96

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Solution

The fourth proportional to 4,651.60, 6,976.16 and 2,185.96 is: 3,278.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.60 : 6,976.16 = 2,185.96 : x
  2. Step 2: Convert to fraction form
    4,651.60/6,976.16 = 2,185.96/x
  3. Step 3: Cross multiply
    4,651.60x = 6,976.16 × 2,185.96
  4. Step 4: Simplify right side
    4,651.60x = 15,249,606.71
  5. Step 5: Solve for x
    x = 15,249,606.71/4,651.60
  6. Step 6: Final answer
    x = 3,278.36

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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.