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Finding the Fourth Proportional to 5,555.84, 7,666.67 and 3,165.50

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Solution

The fourth proportional to 5,555.84, 7,666.67 and 3,165.50 is: 4,368.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,555.84 : 7,666.67 = 3,165.50 : x
  2. Step 2: Convert to fraction form
    5,555.84/7,666.67 = 3,165.50/x
  3. Step 3: Cross multiply
    5,555.84x = 7,666.67 × 3,165.50
  4. Step 4: Simplify right side
    5,555.84x = 24,268,843.89
  5. Step 5: Solve for x
    x = 24,268,843.89/5,555.84
  6. Step 6: Final answer
    x = 4,368.17

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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.