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Finding the Fourth Proportional to 5,785.75, 7,977.08 and 4,722.44

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Solution

The fourth proportional to 5,785.75, 7,977.08 and 4,722.44 is: 6,511.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785.75 : 7,977.08 = 4,722.44 : x
  2. Step 2: Convert to fraction form
    5,785.75/7,977.08 = 4,722.44/x
  3. Step 3: Cross multiply
    5,785.75x = 7,977.08 × 4,722.44
  4. Step 4: Simplify right side
    5,785.75x = 37,671,287.25
  5. Step 5: Solve for x
    x = 37,671,287.25/5,785.75
  6. Step 6: Final answer
    x = 6,511.04

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1.5x scale

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.