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Finding the Fourth Proportional to 4,697.03, 7,047.23 and 2,200.47

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Solution

The fourth proportional to 4,697.03, 7,047.23 and 2,200.47 is: 3,301.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.03 : 7,047.23 = 2,200.47 : x
  2. Step 2: Convert to fraction form
    4,697.03/7,047.23 = 2,200.47/x
  3. Step 3: Cross multiply
    4,697.03x = 7,047.23 × 2,200.47
  4. Step 4: Simplify right side
    4,697.03x = 15,507,207.20
  5. Step 5: Solve for x
    x = 15,507,207.20/4,697.03
  6. Step 6: Final answer
    x = 3,301.50

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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.