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Finding the Fourth Proportional to 4,532.33, 6,784.23 and 3,118.47

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Solution

The fourth proportional to 4,532.33, 6,784.23 and 3,118.47 is: 4,667.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,532.33 : 6,784.23 = 3,118.47 : x
  2. Step 2: Convert to fraction form
    4,532.33/6,784.23 = 3,118.47/x
  3. Step 3: Cross multiply
    4,532.33x = 6,784.23 × 3,118.47
  4. Step 4: Simplify right side
    4,532.33x = 21,156,417.73
  5. Step 5: Solve for x
    x = 21,156,417.73/4,532.33
  6. Step 6: Final answer
    x = 4,667.90

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