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Finding the Fourth Proportional to 4,925, 7,387.50 and 4,801.08

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Solution

The fourth proportional to 4,925, 7,387.50 and 4,801.08 is: 7,201.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,925 : 7,387.50 = 4,801.08 : x
  2. Step 2: Convert to fraction form
    4,925/7,387.50 = 4,801.08/x
  3. Step 3: Cross multiply
    4,925x = 7,387.50 × 4,801.08
  4. Step 4: Simplify right side
    4,925x = 35,467,978.50
  5. Step 5: Solve for x
    x = 35,467,978.50/4,925
  6. Step 6: Final answer
    x = 7,201.62

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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.