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Finding the Fourth Proportional to 5,401.69, 8,089.94 and 5,214.61

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Solution

The fourth proportional to 5,401.69, 8,089.94 and 5,214.61 is: 7,809.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,401.69 : 8,089.94 = 5,214.61 : x
  2. Step 2: Convert to fraction form
    5,401.69/8,089.94 = 5,214.61/x
  3. Step 3: Cross multiply
    5,401.69x = 8,089.94 × 5,214.61
  4. Step 4: Simplify right side
    5,401.69x = 42,185,848.76
  5. Step 5: Solve for x
    x = 42,185,848.76/5,401.69
  6. Step 6: Final answer
    x = 7,809.76

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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.