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Finding the Fourth Proportional to 4,477.16, 6,711 and 3,016.64

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Solution

The fourth proportional to 4,477.16, 6,711 and 3,016.64 is: 4,521.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,477.16 : 6,711 = 3,016.64 : x
  2. Step 2: Convert to fraction form
    4,477.16/6,711 = 3,016.64/x
  3. Step 3: Cross multiply
    4,477.16x = 6,711 × 3,016.64
  4. Step 4: Simplify right side
    4,477.16x = 20,244,671.04
  5. Step 5: Solve for x
    x = 20,244,671.04/4,477.16
  6. Step 6: Final answer
    x = 4,521.77

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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.