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Finding the Fourth Proportional to 3,133.67, 4,700.50 and 1,284.37

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Solution

The fourth proportional to 3,133.67, 4,700.50 and 1,284.37 is: 1,926.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.67 : 4,700.50 = 1,284.37 : x
  2. Step 2: Convert to fraction form
    3,133.67/4,700.50 = 1,284.37/x
  3. Step 3: Cross multiply
    3,133.67x = 4,700.50 × 1,284.37
  4. Step 4: Simplify right side
    3,133.67x = 6,037,166.22
  5. Step 5: Solve for x
    x = 6,037,166.22/3,133.67
  6. Step 6: Final answer
    x = 1,926.55

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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.