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Finding the Fourth Proportional to 6,113.54, 8,436.96 and 3,461.00

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Solution

The fourth proportional to 6,113.54, 8,436.96 and 3,461.00 is: 4,776.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,113.54 : 8,436.96 = 3,461.00 : x
  2. Step 2: Convert to fraction form
    6,113.54/8,436.96 = 3,461.00/x
  3. Step 3: Cross multiply
    6,113.54x = 8,436.96 × 3,461.00
  4. Step 4: Simplify right side
    6,113.54x = 29,200,276.38
  5. Step 5: Solve for x
    x = 29,200,276.38/6,113.54
  6. Step 6: Final answer
    x = 4,776.33

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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.