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Finding the Fourth Proportional to 4,492.50, 6,732.46 and 2,026.45

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Solution

The fourth proportional to 4,492.50, 6,732.46 and 2,026.45 is: 3,036.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,492.50 : 6,732.46 = 2,026.45 : x
  2. Step 2: Convert to fraction form
    4,492.50/6,732.46 = 2,026.45/x
  3. Step 3: Cross multiply
    4,492.50x = 6,732.46 × 2,026.45
  4. Step 4: Simplify right side
    4,492.50x = 13,642,993.57
  5. Step 5: Solve for x
    x = 13,642,993.57/4,492.50
  6. Step 6: Final answer
    x = 3,036.84

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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.