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Finding the Fourth Proportional to 4,787.84, 6,601.50 and 4,123.58

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Solution

The fourth proportional to 4,787.84, 6,601.50 and 4,123.58 is: 5,685.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,787.84 : 6,601.50 = 4,123.58 : x
  2. Step 2: Convert to fraction form
    4,787.84/6,601.50 = 4,123.58/x
  3. Step 3: Cross multiply
    4,787.84x = 6,601.50 × 4,123.58
  4. Step 4: Simplify right side
    4,787.84x = 27,221,813.37
  5. Step 5: Solve for x
    x = 27,221,813.37/4,787.84
  6. Step 6: Final answer
    x = 5,685.61

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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.