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Finding the Fourth Proportional to 4,083.76, 6,125.55 and 1,310.32

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Solution

The fourth proportional to 4,083.76, 6,125.55 and 1,310.32 is: 1,965.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,083.76 : 6,125.55 = 1,310.32 : x
  2. Step 2: Convert to fraction form
    4,083.76/6,125.55 = 1,310.32/x
  3. Step 3: Cross multiply
    4,083.76x = 6,125.55 × 1,310.32
  4. Step 4: Simplify right side
    4,083.76x = 8,026,430.68
  5. Step 5: Solve for x
    x = 8,026,430.68/4,083.76
  6. Step 6: Final answer
    x = 1,965.45

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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.