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Finding the Fourth Proportional to 4,905.72, 7,342.08 and 4,501.08

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Solution

The fourth proportional to 4,905.72, 7,342.08 and 4,501.08 is: 6,736.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,905.72 : 7,342.08 = 4,501.08 : x
  2. Step 2: Convert to fraction form
    4,905.72/7,342.08 = 4,501.08/x
  3. Step 3: Cross multiply
    4,905.72x = 7,342.08 × 4,501.08
  4. Step 4: Simplify right side
    4,905.72x = 33,047,289.45
  5. Step 5: Solve for x
    x = 33,047,289.45/4,905.72
  6. Step 6: Final answer
    x = 6,736.48

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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.