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Finding the Fourth Proportional to 5,493.51, 8,240.13 and 1,597.95

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Solution

The fourth proportional to 5,493.51, 8,240.13 and 1,597.95 is: 2,396.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.51 : 8,240.13 = 1,597.95 : x
  2. Step 2: Convert to fraction form
    5,493.51/8,240.13 = 1,597.95/x
  3. Step 3: Cross multiply
    5,493.51x = 8,240.13 × 1,597.95
  4. Step 4: Simplify right side
    5,493.51x = 13,167,315.73
  5. Step 5: Solve for x
    x = 13,167,315.73/5,493.51
  6. Step 6: Final answer
    x = 2,396.89

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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.