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Finding the Fourth Proportional to 3,802.80, 5,252.90 and 3,059.54

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Solution

The fourth proportional to 3,802.80, 5,252.90 and 3,059.54 is: 4,226.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.80 : 5,252.90 = 3,059.54 : x
  2. Step 2: Convert to fraction form
    3,802.80/5,252.90 = 3,059.54/x
  3. Step 3: Cross multiply
    3,802.80x = 5,252.90 × 3,059.54
  4. Step 4: Simplify right side
    3,802.80x = 16,071,457.67
  5. Step 5: Solve for x
    x = 16,071,457.67/3,802.80
  6. Step 6: Final answer
    x = 4,226.22

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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.