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Finding the Fourth Proportional to 4,709.62, 7,066.86 and 1,938.34

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Solution

The fourth proportional to 4,709.62, 7,066.86 and 1,938.34 is: 2,908.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.62 : 7,066.86 = 1,938.34 : x
  2. Step 2: Convert to fraction form
    4,709.62/7,066.86 = 1,938.34/x
  3. Step 3: Cross multiply
    4,709.62x = 7,066.86 × 1,938.34
  4. Step 4: Simplify right side
    4,709.62x = 13,697,977.41
  5. Step 5: Solve for x
    x = 13,697,977.41/4,709.62
  6. Step 6: Final answer
    x = 2,908.51

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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.