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Finding the Fourth Proportional to 5,802.88, 8,007.78 and 3,443.68

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Solution

The fourth proportional to 5,802.88, 8,007.78 and 3,443.68 is: 4,752.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.88 : 8,007.78 = 3,443.68 : x
  2. Step 2: Convert to fraction form
    5,802.88/8,007.78 = 3,443.68/x
  3. Step 3: Cross multiply
    5,802.88x = 8,007.78 × 3,443.68
  4. Step 4: Simplify right side
    5,802.88x = 27,576,231.83
  5. Step 5: Solve for x
    x = 27,576,231.83/5,802.88
  6. Step 6: Final answer
    x = 4,752.16

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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.