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Finding the Fourth Proportional to 4,851.70, 7,277.72 and 1,520.30

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Solution

The fourth proportional to 4,851.70, 7,277.72 and 1,520.30 is: 2,280.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,851.70 : 7,277.72 = 1,520.30 : x
  2. Step 2: Convert to fraction form
    4,851.70/7,277.72 = 1,520.30/x
  3. Step 3: Cross multiply
    4,851.70x = 7,277.72 × 1,520.30
  4. Step 4: Simplify right side
    4,851.70x = 11,064,328.31
  5. Step 5: Solve for x
    x = 11,064,328.31/4,851.70
  6. Step 6: Final answer
    x = 2,280.51

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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.