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Finding the Fourth Proportional to 4,996.17, 7,482.58 and 3,949.15

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Solution

The fourth proportional to 4,996.17, 7,482.58 and 3,949.15 is: 5,914.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,996.17 : 7,482.58 = 3,949.15 : x
  2. Step 2: Convert to fraction form
    4,996.17/7,482.58 = 3,949.15/x
  3. Step 3: Cross multiply
    4,996.17x = 7,482.58 × 3,949.15
  4. Step 4: Simplify right side
    4,996.17x = 29,549,830.81
  5. Step 5: Solve for x
    x = 29,549,830.81/4,996.17
  6. Step 6: Final answer
    x = 5,914.50

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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.