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Finding the Fourth Proportional to 5,616.46, 7,757.61 and 4,206.45

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Solution

The fourth proportional to 5,616.46, 7,757.61 and 4,206.45 is: 5,810.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616.46 : 7,757.61 = 4,206.45 : x
  2. Step 2: Convert to fraction form
    5,616.46/7,757.61 = 4,206.45/x
  3. Step 3: Cross multiply
    5,616.46x = 7,757.61 × 4,206.45
  4. Step 4: Simplify right side
    5,616.46x = 32,631,970.11
  5. Step 5: Solve for x
    x = 32,631,970.11/5,616.46
  6. Step 6: Final answer
    x = 5,810.06

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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.