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Finding the Fourth Proportional to 4,798.72, 7,200.08 and 2,026

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Solution

The fourth proportional to 4,798.72, 7,200.08 and 2,026 is: 3,039.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,798.72 : 7,200.08 = 2,026 : x
  2. Step 2: Convert to fraction form
    4,798.72/7,200.08 = 2,026/x
  3. Step 3: Cross multiply
    4,798.72x = 7,200.08 × 2,026
  4. Step 4: Simplify right side
    4,798.72x = 14,587,362.08
  5. Step 5: Solve for x
    x = 14,587,362.08/4,798.72
  6. Step 6: Final answer
    x = 3,039.84

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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.