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Finding the Fourth Proportional to 4,949.10, 7,373.82 and 4,877.82

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Solution

The fourth proportional to 4,949.10, 7,373.82 and 4,877.82 is: 7,267.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,949.10 : 7,373.82 = 4,877.82 : x
  2. Step 2: Convert to fraction form
    4,949.10/7,373.82 = 4,877.82/x
  3. Step 3: Cross multiply
    4,949.10x = 7,373.82 × 4,877.82
  4. Step 4: Simplify right side
    4,949.10x = 35,968,166.67
  5. Step 5: Solve for x
    x = 35,968,166.67/4,949.10
  6. Step 6: Final answer
    x = 7,267.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.