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Finding the Fourth Proportional to 4,784.08, 7,184.04 and 3,234.10

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Solution

The fourth proportional to 4,784.08, 7,184.04 and 3,234.10 is: 4,856.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784.08 : 7,184.04 = 3,234.10 : x
  2. Step 2: Convert to fraction form
    4,784.08/7,184.04 = 3,234.10/x
  3. Step 3: Cross multiply
    4,784.08x = 7,184.04 × 3,234.10
  4. Step 4: Simplify right side
    4,784.08x = 23,233,903.76
  5. Step 5: Solve for x
    x = 23,233,903.76/4,784.08
  6. Step 6: Final answer
    x = 4,856.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.