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Finding the Fourth Proportional to 3,470.28, 4,785.66 and 3,215.76

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Solution

The fourth proportional to 3,470.28, 4,785.66 and 3,215.76 is: 4,434.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.28 : 4,785.66 = 3,215.76 : x
  2. Step 2: Convert to fraction form
    3,470.28/4,785.66 = 3,215.76/x
  3. Step 3: Cross multiply
    3,470.28x = 4,785.66 × 3,215.76
  4. Step 4: Simplify right side
    3,470.28x = 15,389,534.00
  5. Step 5: Solve for x
    x = 15,389,534.00/3,470.28
  6. Step 6: Final answer
    x = 4,434.67

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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.