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Finding the Fourth Proportional to 4,531, 6,250.65 and 3,205.45

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Solution

The fourth proportional to 4,531, 6,250.65 and 3,205.45 is: 4,422.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,531 : 6,250.65 = 3,205.45 : x
  2. Step 2: Convert to fraction form
    4,531/6,250.65 = 3,205.45/x
  3. Step 3: Cross multiply
    4,531x = 6,250.65 × 3,205.45
  4. Step 4: Simplify right side
    4,531x = 20,036,146.04
  5. Step 5: Solve for x
    x = 20,036,146.04/4,531
  6. Step 6: Final answer
    x = 4,422.01

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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.