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Finding the Fourth Proportional to 4,677.28, 7,009.83 and 1,900.69

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Solution

The fourth proportional to 4,677.28, 7,009.83 and 1,900.69 is: 2,848.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.28 : 7,009.83 = 1,900.69 : x
  2. Step 2: Convert to fraction form
    4,677.28/7,009.83 = 1,900.69/x
  3. Step 3: Cross multiply
    4,677.28x = 7,009.83 × 1,900.69
  4. Step 4: Simplify right side
    4,677.28x = 13,323,496.26
  5. Step 5: Solve for x
    x = 13,323,496.26/4,677.28
  6. Step 6: Final answer
    x = 2,848.56

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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.