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Finding the Fourth Proportional to 4,977.42, 7,467.48 and 4,433.40

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Solution

The fourth proportional to 4,977.42, 7,467.48 and 4,433.40 is: 6,651.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.42 : 7,467.48 = 4,433.40 : x
  2. Step 2: Convert to fraction form
    4,977.42/7,467.48 = 4,433.40/x
  3. Step 3: Cross multiply
    4,977.42x = 7,467.48 × 4,433.40
  4. Step 4: Simplify right side
    4,977.42x = 33,106,325.83
  5. Step 5: Solve for x
    x = 33,106,325.83/4,977.42
  6. Step 6: Final answer
    x = 6,651.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.