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Finding the Fourth Proportional to 4,083.48, 6,125.22 and 1,310.10

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Solution

The fourth proportional to 4,083.48, 6,125.22 and 1,310.10 is: 1,965.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,083.48 : 6,125.22 = 1,310.10 : x
  2. Step 2: Convert to fraction form
    4,083.48/6,125.22 = 1,310.10/x
  3. Step 3: Cross multiply
    4,083.48x = 6,125.22 × 1,310.10
  4. Step 4: Simplify right side
    4,083.48x = 8,024,650.72
  5. Step 5: Solve for x
    x = 8,024,650.72/4,083.48
  6. Step 6: Final answer
    x = 1,965.15

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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.