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Finding the Fourth Proportional to 6,135, 8,466.32 and 3,340.52

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Solution

The fourth proportional to 6,135, 8,466.32 and 3,340.52 is: 4,609.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,135 : 8,466.32 = 3,340.52 : x
  2. Step 2: Convert to fraction form
    6,135/8,466.32 = 3,340.52/x
  3. Step 3: Cross multiply
    6,135x = 8,466.32 × 3,340.52
  4. Step 4: Simplify right side
    6,135x = 28,281,911.29
  5. Step 5: Solve for x
    x = 28,281,911.29/6,135
  6. Step 6: Final answer
    x = 4,609.93

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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.