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Finding the Fourth Proportional to 5,533, 8,307.75 and 2,252.50

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Solution

The fourth proportional to 5,533, 8,307.75 and 2,252.50 is: 3,382.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,533 : 8,307.75 = 2,252.50 : x
  2. Step 2: Convert to fraction form
    5,533/8,307.75 = 2,252.50/x
  3. Step 3: Cross multiply
    5,533x = 8,307.75 × 2,252.50
  4. Step 4: Simplify right side
    5,533x = 18,713,206.88
  5. Step 5: Solve for x
    x = 18,713,206.88/5,533
  6. Step 6: Final answer
    x = 3,382.11

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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.