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Finding the Fourth Proportional to 3,357.50, 5,030.78 and 1,711.79

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Solution

The fourth proportional to 3,357.50, 5,030.78 and 1,711.79 is: 2,564.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,357.50 : 5,030.78 = 1,711.79 : x
  2. Step 2: Convert to fraction form
    3,357.50/5,030.78 = 1,711.79/x
  3. Step 3: Cross multiply
    3,357.50x = 5,030.78 × 1,711.79
  4. Step 4: Simplify right side
    3,357.50x = 8,611,605.18
  5. Step 5: Solve for x
    x = 8,611,605.18/3,357.50
  6. Step 6: Final answer
    x = 2,564.89

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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.