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Finding the Fourth Proportional to 4,783.38, 6,598.20 and 3,011.90

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Solution

The fourth proportional to 4,783.38, 6,598.20 and 3,011.90 is: 4,154.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,783.38 : 6,598.20 = 3,011.90 : x
  2. Step 2: Convert to fraction form
    4,783.38/6,598.20 = 3,011.90/x
  3. Step 3: Cross multiply
    4,783.38x = 6,598.20 × 3,011.90
  4. Step 4: Simplify right side
    4,783.38x = 19,873,118.58
  5. Step 5: Solve for x
    x = 19,873,118.58/4,783.38
  6. Step 6: Final answer
    x = 4,154.62

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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.