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Finding the Fourth Proportional to 5,382.84, 7,428.78 and 3,024.84

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Solution

The fourth proportional to 5,382.84, 7,428.78 and 3,024.84 is: 4,174.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.84 : 7,428.78 = 3,024.84 : x
  2. Step 2: Convert to fraction form
    5,382.84/7,428.78 = 3,024.84/x
  3. Step 3: Cross multiply
    5,382.84x = 7,428.78 × 3,024.84
  4. Step 4: Simplify right side
    5,382.84x = 22,470,870.90
  5. Step 5: Solve for x
    x = 22,470,870.90/5,382.84
  6. Step 6: Final answer
    x = 4,174.54

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1.5x scale

Why These Related Problems?

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