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Finding the Fourth Proportional to 5,628, 7,766.61 and 3,109.98

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Solution

The fourth proportional to 5,628, 7,766.61 and 3,109.98 is: 4,291.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,628 : 7,766.61 = 3,109.98 : x
  2. Step 2: Convert to fraction form
    5,628/7,766.61 = 3,109.98/x
  3. Step 3: Cross multiply
    5,628x = 7,766.61 × 3,109.98
  4. Step 4: Simplify right side
    5,628x = 24,154,001.77
  5. Step 5: Solve for x
    x = 24,154,001.77/5,628
  6. Step 6: Final answer
    x = 4,291.76

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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.