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Finding the Fourth Proportional to 5,994.86, 8,280.97 and 5,435.96

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Solution

The fourth proportional to 5,994.86, 8,280.97 and 5,435.96 is: 7,508.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,994.86 : 8,280.97 = 5,435.96 : x
  2. Step 2: Convert to fraction form
    5,994.86/8,280.97 = 5,435.96/x
  3. Step 3: Cross multiply
    5,994.86x = 8,280.97 × 5,435.96
  4. Step 4: Simplify right side
    5,994.86x = 45,014,966.69
  5. Step 5: Solve for x
    x = 45,014,966.69/5,994.86
  6. Step 6: Final answer
    x = 7,508.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.