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Finding the Fourth Proportional to 5,083.60, 7,627.86 and 1,799.08

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Solution

The fourth proportional to 5,083.60, 7,627.86 and 1,799.08 is: 2,699.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,083.60 : 7,627.86 = 1,799.08 : x
  2. Step 2: Convert to fraction form
    5,083.60/7,627.86 = 1,799.08/x
  3. Step 3: Cross multiply
    5,083.60x = 7,627.86 × 1,799.08
  4. Step 4: Simplify right side
    5,083.60x = 13,723,130.37
  5. Step 5: Solve for x
    x = 13,723,130.37/5,083.60
  6. Step 6: Final answer
    x = 2,699.49

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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.