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Finding the Fourth Proportional to 5,117.81, 7,636.79 and 4,566.20

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Solution

The fourth proportional to 5,117.81, 7,636.79 and 4,566.20 is: 6,813.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,117.81 : 7,636.79 = 4,566.20 : x
  2. Step 2: Convert to fraction form
    5,117.81/7,636.79 = 4,566.20/x
  3. Step 3: Cross multiply
    5,117.81x = 7,636.79 × 4,566.20
  4. Step 4: Simplify right side
    5,117.81x = 34,871,083.73
  5. Step 5: Solve for x
    x = 34,871,083.73/5,117.81
  6. Step 6: Final answer
    x = 6,813.68

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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.