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Finding the Fourth Proportional to 4,650.08, 6,976.16 and 2,184.93

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Solution

The fourth proportional to 4,650.08, 6,976.16 and 2,184.93 is: 3,277.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,650.08 : 6,976.16 = 2,184.93 : x
  2. Step 2: Convert to fraction form
    4,650.08/6,976.16 = 2,184.93/x
  3. Step 3: Cross multiply
    4,650.08x = 6,976.16 × 2,184.93
  4. Step 4: Simplify right side
    4,650.08x = 15,242,410.34
  5. Step 5: Solve for x
    x = 15,242,410.34/4,650.08
  6. Step 6: Final answer
    x = 3,277.88

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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.