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Finding the Fourth Proportional to 5,732.86, 7,914.63 and 4,385.99

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Solution

The fourth proportional to 5,732.86, 7,914.63 and 4,385.99 is: 6,055.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732.86 : 7,914.63 = 4,385.99 : x
  2. Step 2: Convert to fraction form
    5,732.86/7,914.63 = 4,385.99/x
  3. Step 3: Cross multiply
    5,732.86x = 7,914.63 × 4,385.99
  4. Step 4: Simplify right side
    5,732.86x = 34,713,488.03
  5. Step 5: Solve for x
    x = 34,713,488.03/5,732.86
  6. Step 6: Final answer
    x = 6,055.18

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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.