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Finding the Fourth Proportional to 3,456.93, 5,184.63 and 991.74

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Solution

The fourth proportional to 3,456.93, 5,184.63 and 991.74 is: 1,487.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.93 : 5,184.63 = 991.74 : x
  2. Step 2: Convert to fraction form
    3,456.93/5,184.63 = 991.74/x
  3. Step 3: Cross multiply
    3,456.93x = 5,184.63 × 991.74
  4. Step 4: Simplify right side
    3,456.93x = 5,141,804.96
  5. Step 5: Solve for x
    x = 5,141,804.96/3,456.93
  6. Step 6: Final answer
    x = 1,487.39

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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.