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Finding the Fourth Proportional to 4,565.76, 6,844.32 and 2,485.44

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Solution

The fourth proportional to 4,565.76, 6,844.32 and 2,485.44 is: 3,725.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,565.76 : 6,844.32 = 2,485.44 : x
  2. Step 2: Convert to fraction form
    4,565.76/6,844.32 = 2,485.44/x
  3. Step 3: Cross multiply
    4,565.76x = 6,844.32 × 2,485.44
  4. Step 4: Simplify right side
    4,565.76x = 17,011,146.70
  5. Step 5: Solve for x
    x = 17,011,146.70/4,565.76
  6. Step 6: Final answer
    x = 3,725.81

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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.