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Finding the Fourth Proportional to 4,565.75, 6,835.28 and 4,128.01

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Solution

The fourth proportional to 4,565.75, 6,835.28 and 4,128.01 is: 6,179.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,565.75 : 6,835.28 = 4,128.01 : x
  2. Step 2: Convert to fraction form
    4,565.75/6,835.28 = 4,128.01/x
  3. Step 3: Cross multiply
    4,565.75x = 6,835.28 × 4,128.01
  4. Step 4: Simplify right side
    4,565.75x = 28,216,107.58
  5. Step 5: Solve for x
    x = 28,216,107.58/4,565.75
  6. Step 6: Final answer
    x = 6,179.95

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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.