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Finding the Fourth Proportional to 5,200.64, 7,801.48 and 1,690.50

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Solution

The fourth proportional to 5,200.64, 7,801.48 and 1,690.50 is: 2,535.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.64 : 7,801.48 = 1,690.50 : x
  2. Step 2: Convert to fraction form
    5,200.64/7,801.48 = 1,690.50/x
  3. Step 3: Cross multiply
    5,200.64x = 7,801.48 × 1,690.50
  4. Step 4: Simplify right side
    5,200.64x = 13,188,433.31
  5. Step 5: Solve for x
    x = 13,188,433.31/5,200.64
  6. Step 6: Final answer
    x = 2,535.93

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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.