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Finding the Fourth Proportional to 5,854.40, 8,080.24 and 3,865.04

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Solution

The fourth proportional to 5,854.40, 8,080.24 and 3,865.04 is: 5,334.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.40 : 8,080.24 = 3,865.04 : x
  2. Step 2: Convert to fraction form
    5,854.40/8,080.24 = 3,865.04/x
  3. Step 3: Cross multiply
    5,854.40x = 8,080.24 × 3,865.04
  4. Step 4: Simplify right side
    5,854.40x = 31,230,450.81
  5. Step 5: Solve for x
    x = 31,230,450.81/5,854.40
  6. Step 6: Final answer
    x = 5,334.53

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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.