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Finding the Fourth Proportional to 3,430.72, 4,733.76 and 2,170.90

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Solution

The fourth proportional to 3,430.72, 4,733.76 and 2,170.90 is: 2,995.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.72 : 4,733.76 = 2,170.90 : x
  2. Step 2: Convert to fraction form
    3,430.72/4,733.76 = 2,170.90/x
  3. Step 3: Cross multiply
    3,430.72x = 4,733.76 × 2,170.90
  4. Step 4: Simplify right side
    3,430.72x = 10,276,499.61
  5. Step 5: Solve for x
    x = 10,276,499.61/3,430.72
  6. Step 6: Final answer
    x = 2,995.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.