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Finding the Fourth Proportional to 4,977.01, 7,462.93 and 1,466.56

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Solution

The fourth proportional to 4,977.01, 7,462.93 and 1,466.56 is: 2,199.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.01 : 7,462.93 = 1,466.56 : x
  2. Step 2: Convert to fraction form
    4,977.01/7,462.93 = 1,466.56/x
  3. Step 3: Cross multiply
    4,977.01x = 7,462.93 × 1,466.56
  4. Step 4: Simplify right side
    4,977.01x = 10,944,801.05
  5. Step 5: Solve for x
    x = 10,944,801.05/4,977.01
  6. Step 6: Final answer
    x = 2,199.07

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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.