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Finding the Fourth Proportional to 5,792.50, 7,990.70 and 3,664.44

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Solution

The fourth proportional to 5,792.50, 7,990.70 and 3,664.44 is: 5,055.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,792.50 : 7,990.70 = 3,664.44 : x
  2. Step 2: Convert to fraction form
    5,792.50/7,990.70 = 3,664.44/x
  3. Step 3: Cross multiply
    5,792.50x = 7,990.70 × 3,664.44
  4. Step 4: Simplify right side
    5,792.50x = 29,281,443.00
  5. Step 5: Solve for x
    x = 29,281,443.00/5,792.50
  6. Step 6: Final answer
    x = 5,055.07

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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.