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Finding the Fourth Proportional to 4,123.92, 6,185.84 and 3,506.16

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Solution

The fourth proportional to 4,123.92, 6,185.84 and 3,506.16 is: 5,259.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,123.92 : 6,185.84 = 3,506.16 : x
  2. Step 2: Convert to fraction form
    4,123.92/6,185.84 = 3,506.16/x
  3. Step 3: Cross multiply
    4,123.92x = 6,185.84 × 3,506.16
  4. Step 4: Simplify right side
    4,123.92x = 21,688,544.77
  5. Step 5: Solve for x
    x = 21,688,544.77/4,123.92
  6. Step 6: Final answer
    x = 5,259.21

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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.