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Finding the Fourth Proportional to 3,533.86, 5,290.75 and 2,699.95

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Solution

The fourth proportional to 3,533.86, 5,290.75 and 2,699.95 is: 4,042.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.86 : 5,290.75 = 2,699.95 : x
  2. Step 2: Convert to fraction form
    3,533.86/5,290.75 = 2,699.95/x
  3. Step 3: Cross multiply
    3,533.86x = 5,290.75 × 2,699.95
  4. Step 4: Simplify right side
    3,533.86x = 14,284,760.53
  5. Step 5: Solve for x
    x = 14,284,760.53/3,533.86
  6. Step 6: Final answer
    x = 4,042.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.