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Finding the Fourth Proportional to 5,867.92, 8,802.19 and 1,485.42

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Solution

The fourth proportional to 5,867.92, 8,802.19 and 1,485.42 is: 2,228.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,867.92 : 8,802.19 = 1,485.42 : x
  2. Step 2: Convert to fraction form
    5,867.92/8,802.19 = 1,485.42/x
  3. Step 3: Cross multiply
    5,867.92x = 8,802.19 × 1,485.42
  4. Step 4: Simplify right side
    5,867.92x = 13,074,917.92
  5. Step 5: Solve for x
    x = 13,074,917.92/5,867.92
  6. Step 6: Final answer
    x = 2,228.20

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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.