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Finding the Fourth Proportional to 4,702, 7,048.20 and 2,237.08

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Solution

The fourth proportional to 4,702, 7,048.20 and 2,237.08 is: 3,353.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702 : 7,048.20 = 2,237.08 : x
  2. Step 2: Convert to fraction form
    4,702/7,048.20 = 2,237.08/x
  3. Step 3: Cross multiply
    4,702x = 7,048.20 × 2,237.08
  4. Step 4: Simplify right side
    4,702x = 15,767,387.26
  5. Step 5: Solve for x
    x = 15,767,387.26/4,702
  6. Step 6: Final answer
    x = 3,353.34

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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.