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Finding the Fourth Proportional to 5,673.84, 7,827.36 and 3,314.94

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Solution

The fourth proportional to 5,673.84, 7,827.36 and 3,314.94 is: 4,573.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.84 : 7,827.36 = 3,314.94 : x
  2. Step 2: Convert to fraction form
    5,673.84/7,827.36 = 3,314.94/x
  3. Step 3: Cross multiply
    5,673.84x = 7,827.36 × 3,314.94
  4. Step 4: Simplify right side
    5,673.84x = 25,947,228.76
  5. Step 5: Solve for x
    x = 25,947,228.76/5,673.84
  6. Step 6: Final answer
    x = 4,573.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.