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Finding the Fourth Proportional to 4,245.81, 6,364.81 and 1,470.54

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Solution

The fourth proportional to 4,245.81, 6,364.81 and 1,470.54 is: 2,204.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,245.81 : 6,364.81 = 1,470.54 : x
  2. Step 2: Convert to fraction form
    4,245.81/6,364.81 = 1,470.54/x
  3. Step 3: Cross multiply
    4,245.81x = 6,364.81 × 1,470.54
  4. Step 4: Simplify right side
    4,245.81x = 9,359,707.70
  5. Step 5: Solve for x
    x = 9,359,707.70/4,245.81
  6. Step 6: Final answer
    x = 2,204.46

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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.