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Finding the Fourth Proportional to 3,430.28, 4,733.16 and 2,313.02

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Solution

The fourth proportional to 3,430.28, 4,733.16 and 2,313.02 is: 3,191.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.28 : 4,733.16 = 2,313.02 : x
  2. Step 2: Convert to fraction form
    3,430.28/4,733.16 = 2,313.02/x
  3. Step 3: Cross multiply
    3,430.28x = 4,733.16 × 2,313.02
  4. Step 4: Simplify right side
    3,430.28x = 10,947,893.74
  5. Step 5: Solve for x
    x = 10,947,893.74/3,430.28
  6. Step 6: Final answer
    x = 3,191.55

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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.