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Finding the Fourth Proportional to 5,235.63, 7,854.65 and 1,772.88

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Solution

The fourth proportional to 5,235.63, 7,854.65 and 1,772.88 is: 2,659.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.63 : 7,854.65 = 1,772.88 : x
  2. Step 2: Convert to fraction form
    5,235.63/7,854.65 = 1,772.88/x
  3. Step 3: Cross multiply
    5,235.63x = 7,854.65 × 1,772.88
  4. Step 4: Simplify right side
    5,235.63x = 13,925,351.89
  5. Step 5: Solve for x
    x = 13,925,351.89/5,235.63
  6. Step 6: Final answer
    x = 2,659.73

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1.5x scale

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.