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Finding the Fourth Proportional to 5,410.64, 7,465.80 and 3,285.92

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Solution

The fourth proportional to 5,410.64, 7,465.80 and 3,285.92 is: 4,534.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410.64 : 7,465.80 = 3,285.92 : x
  2. Step 2: Convert to fraction form
    5,410.64/7,465.80 = 3,285.92/x
  3. Step 3: Cross multiply
    5,410.64x = 7,465.80 × 3,285.92
  4. Step 4: Simplify right side
    5,410.64x = 24,532,021.54
  5. Step 5: Solve for x
    x = 24,532,021.54/5,410.64
  6. Step 6: Final answer
    x = 4,534.03

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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.