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Finding the Fourth Proportional to 4,352.84, 5,996.94 and 3,572

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Solution

The fourth proportional to 4,352.84, 5,996.94 and 3,572 is: 4,921.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,352.84 : 5,996.94 = 3,572 : x
  2. Step 2: Convert to fraction form
    4,352.84/5,996.94 = 3,572/x
  3. Step 3: Cross multiply
    4,352.84x = 5,996.94 × 3,572
  4. Step 4: Simplify right side
    4,352.84x = 21,421,069.68
  5. Step 5: Solve for x
    x = 21,421,069.68/4,352.84
  6. Step 6: Final answer
    x = 4,921.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.