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Finding the Fourth Proportional to 5,802.64, 8,007.82 and 3,284.70

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Solution

The fourth proportional to 5,802.64, 8,007.82 and 3,284.70 is: 4,532.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.64 : 8,007.82 = 3,284.70 : x
  2. Step 2: Convert to fraction form
    5,802.64/8,007.82 = 3,284.70/x
  3. Step 3: Cross multiply
    5,802.64x = 8,007.82 × 3,284.70
  4. Step 4: Simplify right side
    5,802.64x = 26,303,248.11
  5. Step 5: Solve for x
    x = 26,303,248.11/5,802.64
  6. Step 6: Final answer
    x = 4,532.98

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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.