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Finding the Fourth Proportional to 6,475.95, 8,936.01 and 4,085.02

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Solution

The fourth proportional to 6,475.95, 8,936.01 and 4,085.02 is: 5,636.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.95 : 8,936.01 = 4,085.02 : x
  2. Step 2: Convert to fraction form
    6,475.95/8,936.01 = 4,085.02/x
  3. Step 3: Cross multiply
    6,475.95x = 8,936.01 × 4,085.02
  4. Step 4: Simplify right side
    6,475.95x = 36,503,781.64
  5. Step 5: Solve for x
    x = 36,503,781.64/6,475.95
  6. Step 6: Final answer
    x = 5,636.82

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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.