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Finding the Fourth Proportional to 4,901, 7,346.64 and 2,710.76

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Solution

The fourth proportional to 4,901, 7,346.64 and 2,710.76 is: 4,063.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,901 : 7,346.64 = 2,710.76 : x
  2. Step 2: Convert to fraction form
    4,901/7,346.64 = 2,710.76/x
  3. Step 3: Cross multiply
    4,901x = 7,346.64 × 2,710.76
  4. Step 4: Simplify right side
    4,901x = 19,914,977.85
  5. Step 5: Solve for x
    x = 19,914,977.85/4,901
  6. Step 6: Final answer
    x = 4,063.45

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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.