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Finding the Fourth Proportional to 3,340.02, 5,009.96 and 1,000.04

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Solution

The fourth proportional to 3,340.02, 5,009.96 and 1,000.04 is: 1,500.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,340.02 : 5,009.96 = 1,000.04 : x
  2. Step 2: Convert to fraction form
    3,340.02/5,009.96 = 1,000.04/x
  3. Step 3: Cross multiply
    3,340.02x = 5,009.96 × 1,000.04
  4. Step 4: Simplify right side
    3,340.02x = 5,010,130.35
  5. Step 5: Solve for x
    x = 5,010,130.35/3,340.02
  6. Step 6: Final answer
    x = 1,500.03

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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.