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Finding the Fourth Proportional to 5,802.28, 8,007.54 and 3,284.40

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Solution

The fourth proportional to 5,802.28, 8,007.54 and 3,284.40 is: 4,532.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.28 : 8,007.54 = 3,284.40 : x
  2. Step 2: Convert to fraction form
    5,802.28/8,007.54 = 3,284.40/x
  3. Step 3: Cross multiply
    5,802.28x = 8,007.54 × 3,284.40
  4. Step 4: Simplify right side
    5,802.28x = 26,299,964.38
  5. Step 5: Solve for x
    x = 26,299,964.38/5,802.28
  6. Step 6: Final answer
    x = 4,532.69

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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.