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Finding the Fourth Proportional to 4,609.86, 6,352.38 and 3,210.18

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Solution

The fourth proportional to 4,609.86, 6,352.38 and 3,210.18 is: 4,423.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.86 : 6,352.38 = 3,210.18 : x
  2. Step 2: Convert to fraction form
    4,609.86/6,352.38 = 3,210.18/x
  3. Step 3: Cross multiply
    4,609.86x = 6,352.38 × 3,210.18
  4. Step 4: Simplify right side
    4,609.86x = 20,392,283.23
  5. Step 5: Solve for x
    x = 20,392,283.23/4,609.86
  6. Step 6: Final answer
    x = 4,423.62

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Why These Related Problems?

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