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Finding the Fourth Proportional to 5,802.53, 8,007.53 and 3,284.64

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Solution

The fourth proportional to 5,802.53, 8,007.53 and 3,284.64 is: 4,532.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.53 : 8,007.53 = 3,284.64 : x
  2. Step 2: Convert to fraction form
    5,802.53/8,007.53 = 3,284.64/x
  3. Step 3: Cross multiply
    5,802.53x = 8,007.53 × 3,284.64
  4. Step 4: Simplify right side
    5,802.53x = 26,301,836.92
  5. Step 5: Solve for x
    x = 26,301,836.92/5,802.53
  6. Step 6: Final answer
    x = 4,532.83

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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.