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Finding the Fourth Proportional to 3,340.20, 5,009.40 and 999.84

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Solution

The fourth proportional to 3,340.20, 5,009.40 and 999.84 is: 1,499.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,340.20 : 5,009.40 = 999.84 : x
  2. Step 2: Convert to fraction form
    3,340.20/5,009.40 = 999.84/x
  3. Step 3: Cross multiply
    3,340.20x = 5,009.40 × 999.84
  4. Step 4: Simplify right side
    3,340.20x = 5,008,598.50
  5. Step 5: Solve for x
    x = 5,008,598.50/3,340.20
  6. Step 6: Final answer
    x = 1,499.49

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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.