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Finding the Fourth Proportional to 3,477.64, 5,216.04 and 880.60

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Solution

The fourth proportional to 3,477.64, 5,216.04 and 880.60 is: 1,320.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.64 : 5,216.04 = 880.60 : x
  2. Step 2: Convert to fraction form
    3,477.64/5,216.04 = 880.60/x
  3. Step 3: Cross multiply
    3,477.64x = 5,216.04 × 880.60
  4. Step 4: Simplify right side
    3,477.64x = 4,593,244.82
  5. Step 5: Solve for x
    x = 4,593,244.82/3,477.64
  6. Step 6: Final answer
    x = 1,320.79

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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.