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Finding the Fourth Proportional to 6,328.10, 8,732.68 and 3,495.40

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Solution

The fourth proportional to 6,328.10, 8,732.68 and 3,495.40 is: 4,823.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.10 : 8,732.68 = 3,495.40 : x
  2. Step 2: Convert to fraction form
    6,328.10/8,732.68 = 3,495.40/x
  3. Step 3: Cross multiply
    6,328.10x = 8,732.68 × 3,495.40
  4. Step 4: Simplify right side
    6,328.10x = 30,524,209.67
  5. Step 5: Solve for x
    x = 30,524,209.67/6,328.10
  6. Step 6: Final answer
    x = 4,823.60

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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.