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Finding the Fourth Proportional to 5,596.96, 8,394.48 and 1,492

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Solution

The fourth proportional to 5,596.96, 8,394.48 and 1,492 is: 2,237.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,596.96 : 8,394.48 = 1,492 : x
  2. Step 2: Convert to fraction form
    5,596.96/8,394.48 = 1,492/x
  3. Step 3: Cross multiply
    5,596.96x = 8,394.48 × 1,492
  4. Step 4: Simplify right side
    5,596.96x = 12,524,564.16
  5. Step 5: Solve for x
    x = 12,524,564.16/5,596.96
  6. Step 6: Final answer
    x = 2,237.74

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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.