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Finding the Fourth Proportional to 4,604.81, 6,906.21 and 1,317.02

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Solution

The fourth proportional to 4,604.81, 6,906.21 and 1,317.02 is: 1,975.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,604.81 : 6,906.21 = 1,317.02 : x
  2. Step 2: Convert to fraction form
    4,604.81/6,906.21 = 1,317.02/x
  3. Step 3: Cross multiply
    4,604.81x = 6,906.21 × 1,317.02
  4. Step 4: Simplify right side
    4,604.81x = 9,095,582.16
  5. Step 5: Solve for x
    x = 9,095,582.16/4,604.81
  6. Step 6: Final answer
    x = 1,975.24

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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.