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Finding the Fourth Proportional to 4,340.16, 6,520.74 and 2,783.16

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Solution

The fourth proportional to 4,340.16, 6,520.74 and 2,783.16 is: 4,181.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,340.16 : 6,520.74 = 2,783.16 : x
  2. Step 2: Convert to fraction form
    4,340.16/6,520.74 = 2,783.16/x
  3. Step 3: Cross multiply
    4,340.16x = 6,520.74 × 2,783.16
  4. Step 4: Simplify right side
    4,340.16x = 18,148,262.74
  5. Step 5: Solve for x
    x = 18,148,262.74/4,340.16
  6. Step 6: Final answer
    x = 4,181.47

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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.