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Finding the Fourth Proportional to 3,588.84, 5,373.54 and 2,286.36

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Solution

The fourth proportional to 3,588.84, 5,373.54 and 2,286.36 is: 3,423.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.84 : 5,373.54 = 2,286.36 : x
  2. Step 2: Convert to fraction form
    3,588.84/5,373.54 = 2,286.36/x
  3. Step 3: Cross multiply
    3,588.84x = 5,373.54 × 2,286.36
  4. Step 4: Simplify right side
    3,588.84x = 12,285,846.91
  5. Step 5: Solve for x
    x = 12,285,846.91/3,588.84
  6. Step 6: Final answer
    x = 3,423.35

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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.