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Finding the Fourth Proportional to 3,456.41, 5,184.54 and 991.24

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Solution

The fourth proportional to 3,456.41, 5,184.54 and 991.24 is: 1,486.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.41 : 5,184.54 = 991.24 : x
  2. Step 2: Convert to fraction form
    3,456.41/5,184.54 = 991.24/x
  3. Step 3: Cross multiply
    3,456.41x = 5,184.54 × 991.24
  4. Step 4: Simplify right side
    3,456.41x = 5,139,110.47
  5. Step 5: Solve for x
    x = 5,139,110.47/3,456.41
  6. Step 6: Final answer
    x = 1,486.84

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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.