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Finding the Fourth Proportional to 5,994, 8,272.80 and 3,477.84

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Solution

The fourth proportional to 5,994, 8,272.80 and 3,477.84 is: 4,800.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,994 : 8,272.80 = 3,477.84 : x
  2. Step 2: Convert to fraction form
    5,994/8,272.80 = 3,477.84/x
  3. Step 3: Cross multiply
    5,994x = 8,272.80 × 3,477.84
  4. Step 4: Simplify right side
    5,994x = 28,771,474.75
  5. Step 5: Solve for x
    x = 28,771,474.75/5,994
  6. Step 6: Final answer
    x = 4,800.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.