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Finding the Fourth Proportional to 5,394.63, 8,092.05 and 1,498.98

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Solution

The fourth proportional to 5,394.63, 8,092.05 and 1,498.98 is: 2,248.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,394.63 : 8,092.05 = 1,498.98 : x
  2. Step 2: Convert to fraction form
    5,394.63/8,092.05 = 1,498.98/x
  3. Step 3: Cross multiply
    5,394.63x = 8,092.05 × 1,498.98
  4. Step 4: Simplify right side
    5,394.63x = 12,129,821.11
  5. Step 5: Solve for x
    x = 12,129,821.11/5,394.63
  6. Step 6: Final answer
    x = 2,248.50

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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.