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Finding the Fourth Proportional to 5,632.97, 8,445.87 and 4,941.02

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Solution

The fourth proportional to 5,632.97, 8,445.87 and 4,941.02 is: 7,408.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632.97 : 8,445.87 = 4,941.02 : x
  2. Step 2: Convert to fraction form
    5,632.97/8,445.87 = 4,941.02/x
  3. Step 3: Cross multiply
    5,632.97x = 8,445.87 × 4,941.02
  4. Step 4: Simplify right side
    5,632.97x = 41,731,233.70
  5. Step 5: Solve for x
    x = 41,731,233.70/5,632.97
  6. Step 6: Final answer
    x = 7,408.40

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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.