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Finding the Fourth Proportional to 3,658.28, 5,492.46 and 3,113.96

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Solution

The fourth proportional to 3,658.28, 5,492.46 and 3,113.96 is: 4,675.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.28 : 5,492.46 = 3,113.96 : x
  2. Step 2: Convert to fraction form
    3,658.28/5,492.46 = 3,113.96/x
  3. Step 3: Cross multiply
    3,658.28x = 5,492.46 × 3,113.96
  4. Step 4: Simplify right side
    3,658.28x = 17,103,300.74
  5. Step 5: Solve for x
    x = 17,103,300.74/3,658.28
  6. Step 6: Final answer
    x = 4,675.23

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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.