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Finding the Fourth Proportional to 4,011.84, 5,535.84 and 2,243.16

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Solution

The fourth proportional to 4,011.84, 5,535.84 and 2,243.16 is: 3,095.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,011.84 : 5,535.84 = 2,243.16 : x
  2. Step 2: Convert to fraction form
    4,011.84/5,535.84 = 2,243.16/x
  3. Step 3: Cross multiply
    4,011.84x = 5,535.84 × 2,243.16
  4. Step 4: Simplify right side
    4,011.84x = 12,417,774.85
  5. Step 5: Solve for x
    x = 12,417,774.85/4,011.84
  6. Step 6: Final answer
    x = 3,095.28

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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.