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Finding the Fourth Proportional to 3,597.21, 4,966.43 and 2,477.79

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Solution

The fourth proportional to 3,597.21, 4,966.43 and 2,477.79 is: 3,420.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.21 : 4,966.43 = 2,477.79 : x
  2. Step 2: Convert to fraction form
    3,597.21/4,966.43 = 2,477.79/x
  3. Step 3: Cross multiply
    3,597.21x = 4,966.43 × 2,477.79
  4. Step 4: Simplify right side
    3,597.21x = 12,305,758.20
  5. Step 5: Solve for x
    x = 12,305,758.20/3,597.21
  6. Step 6: Final answer
    x = 3,420.92

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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.