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Finding the Fourth Proportional to 3,699.21, 5,549.95 and 1,295.17

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Solution

The fourth proportional to 3,699.21, 5,549.95 and 1,295.17 is: 1,943.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.21 : 5,549.95 = 1,295.17 : x
  2. Step 2: Convert to fraction form
    3,699.21/5,549.95 = 1,295.17/x
  3. Step 3: Cross multiply
    3,699.21x = 5,549.95 × 1,295.17
  4. Step 4: Simplify right side
    3,699.21x = 7,188,128.74
  5. Step 5: Solve for x
    x = 7,188,128.74/3,699.21
  6. Step 6: Final answer
    x = 1,943.15

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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.