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Finding the Fourth Proportional to 4,994.88, 7,477.56 and 4,781.04

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Solution

The fourth proportional to 4,994.88, 7,477.56 and 4,781.04 is: 7,157.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,994.88 : 7,477.56 = 4,781.04 : x
  2. Step 2: Convert to fraction form
    4,994.88/7,477.56 = 4,781.04/x
  3. Step 3: Cross multiply
    4,994.88x = 7,477.56 × 4,781.04
  4. Step 4: Simplify right side
    4,994.88x = 35,750,513.46
  5. Step 5: Solve for x
    x = 35,750,513.46/4,994.88
  6. Step 6: Final answer
    x = 7,157.43

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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.