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Finding the Fourth Proportional to 4,977.06, 7,459.44 and 4,361.96

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Solution

The fourth proportional to 4,977.06, 7,459.44 and 4,361.96 is: 6,537.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.06 : 7,459.44 = 4,361.96 : x
  2. Step 2: Convert to fraction form
    4,977.06/7,459.44 = 4,361.96/x
  3. Step 3: Cross multiply
    4,977.06x = 7,459.44 × 4,361.96
  4. Step 4: Simplify right side
    4,977.06x = 32,537,778.90
  5. Step 5: Solve for x
    x = 32,537,778.90/4,977.06
  6. Step 6: Final answer
    x = 6,537.55

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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.