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Finding the Fourth Proportional to 4,083.48, 6,088.64 and 4,009.77

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Solution

The fourth proportional to 4,083.48, 6,088.64 and 4,009.77 is: 5,978.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,083.48 : 6,088.64 = 4,009.77 : x
  2. Step 2: Convert to fraction form
    4,083.48/6,088.64 = 4,009.77/x
  3. Step 3: Cross multiply
    4,083.48x = 6,088.64 × 4,009.77
  4. Step 4: Simplify right side
    4,083.48x = 24,414,025.96
  5. Step 5: Solve for x
    x = 24,414,025.96/4,083.48
  6. Step 6: Final answer
    x = 5,978.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.