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Finding the Fourth Proportional to 3,784.06, 5,664.12 and 3,084.76

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Solution

The fourth proportional to 3,784.06, 5,664.12 and 3,084.76 is: 4,617.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.06 : 5,664.12 = 3,084.76 : x
  2. Step 2: Convert to fraction form
    3,784.06/5,664.12 = 3,084.76/x
  3. Step 3: Cross multiply
    3,784.06x = 5,664.12 × 3,084.76
  4. Step 4: Simplify right side
    3,784.06x = 17,472,450.81
  5. Step 5: Solve for x
    x = 17,472,450.81/3,784.06
  6. Step 6: Final answer
    x = 4,617.38

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1.5x scale

Why These Related Problems?

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