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Finding the Fourth Proportional to 4,776.90, 6,585.89 and 3,450.93

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Solution

The fourth proportional to 4,776.90, 6,585.89 and 3,450.93 is: 4,757.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.90 : 6,585.89 = 3,450.93 : x
  2. Step 2: Convert to fraction form
    4,776.90/6,585.89 = 3,450.93/x
  3. Step 3: Cross multiply
    4,776.90x = 6,585.89 × 3,450.93
  4. Step 4: Simplify right side
    4,776.90x = 22,727,428.12
  5. Step 5: Solve for x
    x = 22,727,428.12/4,776.90
  6. Step 6: Final answer
    x = 4,757.78

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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.