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Finding the Fourth Proportional to 7,154.44, 10,733.90 and 3,209

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Solution

The fourth proportional to 7,154.44, 10,733.90 and 3,209 is: 4,814.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.44 : 10,733.90 = 3,209 : x
  2. Step 2: Convert to fraction form
    7,154.44/10,733.90 = 3,209/x
  3. Step 3: Cross multiply
    7,154.44x = 10,733.90 × 3,209
  4. Step 4: Simplify right side
    7,154.44x = 34,445,085.10
  5. Step 5: Solve for x
    x = 34,445,085.10/7,154.44
  6. Step 6: Final answer
    x = 4,814.50

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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.