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Finding the Fourth Proportional to 4,492.61, 6,733.63 and 2,024.54

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Solution

The fourth proportional to 4,492.61, 6,733.63 and 2,024.54 is: 3,034.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,492.61 : 6,733.63 = 2,024.54 : x
  2. Step 2: Convert to fraction form
    4,492.61/6,733.63 = 2,024.54/x
  3. Step 3: Cross multiply
    4,492.61x = 6,733.63 × 2,024.54
  4. Step 4: Simplify right side
    4,492.61x = 13,632,503.28
  5. Step 5: Solve for x
    x = 13,632,503.28/4,492.61
  6. Step 6: Final answer
    x = 3,034.43

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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.