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Finding the Fourth Proportional to 4,650.53, 6,977.00 and 2,701.06

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Solution

The fourth proportional to 4,650.53, 6,977.00 and 2,701.06 is: 4,052.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,650.53 : 6,977.00 = 2,701.06 : x
  2. Step 2: Convert to fraction form
    4,650.53/6,977.00 = 2,701.06/x
  3. Step 3: Cross multiply
    4,650.53x = 6,977.00 × 2,701.06
  4. Step 4: Simplify right side
    4,650.53x = 18,845,284.93
  5. Step 5: Solve for x
    x = 18,845,284.93/4,650.53
  6. Step 6: Final answer
    x = 4,052.29

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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.