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Finding the Fourth Proportional to 5,639.66, 7,778.00 and 4,226.66

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Solution

The fourth proportional to 5,639.66, 7,778.00 and 4,226.66 is: 5,829.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,639.66 : 7,778.00 = 4,226.66 : x
  2. Step 2: Convert to fraction form
    5,639.66/7,778.00 = 4,226.66/x
  3. Step 3: Cross multiply
    5,639.66x = 7,778.00 × 4,226.66
  4. Step 4: Simplify right side
    5,639.66x = 32,874,901.46
  5. Step 5: Solve for x
    x = 32,874,901.46/5,639.66
  6. Step 6: Final answer
    x = 5,829.24

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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.