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Finding the Fourth Proportional to 3,552, 4,901.76 and 2,770.08

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Solution

The fourth proportional to 3,552, 4,901.76 and 2,770.08 is: 3,822.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,552 : 4,901.76 = 2,770.08 : x
  2. Step 2: Convert to fraction form
    3,552/4,901.76 = 2,770.08/x
  3. Step 3: Cross multiply
    3,552x = 4,901.76 × 2,770.08
  4. Step 4: Simplify right side
    3,552x = 13,578,267.34
  5. Step 5: Solve for x
    x = 13,578,267.34/3,552
  6. Step 6: Final answer
    x = 3,822.71

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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.