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Finding the Fourth Proportional to 5,795.64, 8,685.80 and 3,164.28

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Solution

The fourth proportional to 5,795.64, 8,685.80 and 3,164.28 is: 4,742.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,795.64 : 8,685.80 = 3,164.28 : x
  2. Step 2: Convert to fraction form
    5,795.64/8,685.80 = 3,164.28/x
  3. Step 3: Cross multiply
    5,795.64x = 8,685.80 × 3,164.28
  4. Step 4: Simplify right side
    5,795.64x = 27,484,303.22
  5. Step 5: Solve for x
    x = 27,484,303.22/5,795.64
  6. Step 6: Final answer
    x = 4,742.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.