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Finding the Fourth Proportional to 4,584.75, 6,877.13 and 1,122

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Solution

The fourth proportional to 4,584.75, 6,877.13 and 1,122 is: 1,683

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,584.75 : 6,877.13 = 1,122 : x
  2. Step 2: Convert to fraction form
    4,584.75/6,877.13 = 1,122/x
  3. Step 3: Cross multiply
    4,584.75x = 6,877.13 × 1,122
  4. Step 4: Simplify right side
    4,584.75x = 7,716,134.25
  5. Step 5: Solve for x
    x = 7,716,134.25/4,584.75
  6. Step 6: Final answer
    x = 1,683

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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.