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Finding the Fourth Proportional to 5,494.51, 8,241.63 and 1,598.95

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Solution

The fourth proportional to 5,494.51, 8,241.63 and 1,598.95 is: 2,398.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.51 : 8,241.63 = 1,598.95 : x
  2. Step 2: Convert to fraction form
    5,494.51/8,241.63 = 1,598.95/x
  3. Step 3: Cross multiply
    5,494.51x = 8,241.63 × 1,598.95
  4. Step 4: Simplify right side
    5,494.51x = 13,177,954.29
  5. Step 5: Solve for x
    x = 13,177,954.29/5,494.51
  6. Step 6: Final answer
    x = 2,398.39

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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.