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Finding the Fourth Proportional to 4,727, 7,090.50 and 2,130.68

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Solution

The fourth proportional to 4,727, 7,090.50 and 2,130.68 is: 3,196.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,727 : 7,090.50 = 2,130.68 : x
  2. Step 2: Convert to fraction form
    4,727/7,090.50 = 2,130.68/x
  3. Step 3: Cross multiply
    4,727x = 7,090.50 × 2,130.68
  4. Step 4: Simplify right side
    4,727x = 15,107,586.54
  5. Step 5: Solve for x
    x = 15,107,586.54/4,727
  6. Step 6: Final answer
    x = 3,196.02

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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.