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Finding the Fourth Proportional to 5,576, 8,364.16 and 1,472

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Solution

The fourth proportional to 5,576, 8,364.16 and 1,472 is: 2,208.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,576 : 8,364.16 = 1,472 : x
  2. Step 2: Convert to fraction form
    5,576/8,364.16 = 1,472/x
  3. Step 3: Cross multiply
    5,576x = 8,364.16 × 1,472
  4. Step 4: Simplify right side
    5,576x = 12,312,043.52
  5. Step 5: Solve for x
    x = 12,312,043.52/5,576
  6. Step 6: Final answer
    x = 2,208.04

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Why These Related Problems?

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