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Finding the Fourth Proportional to 5,133.58, 7,701.09 and 1,624.59

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Solution

The fourth proportional to 5,133.58, 7,701.09 and 1,624.59 is: 2,437.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,133.58 : 7,701.09 = 1,624.59 : x
  2. Step 2: Convert to fraction form
    5,133.58/7,701.09 = 1,624.59/x
  3. Step 3: Cross multiply
    5,133.58x = 7,701.09 × 1,624.59
  4. Step 4: Simplify right side
    5,133.58x = 12,511,091.88
  5. Step 5: Solve for x
    x = 12,511,091.88/5,133.58
  6. Step 6: Final answer
    x = 2,437.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.