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Finding the Fourth Proportional to 4,642.35, 6,406.53 and 2,546.46

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Solution

The fourth proportional to 4,642.35, 6,406.53 and 2,546.46 is: 3,514.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.35 : 6,406.53 = 2,546.46 : x
  2. Step 2: Convert to fraction form
    4,642.35/6,406.53 = 2,546.46/x
  3. Step 3: Cross multiply
    4,642.35x = 6,406.53 × 2,546.46
  4. Step 4: Simplify right side
    4,642.35x = 16,313,972.38
  5. Step 5: Solve for x
    x = 16,313,972.38/4,642.35
  6. Step 6: Final answer
    x = 3,514.16

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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.