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Finding the Fourth Proportional to 3,423.03, 5,109.79 and 3,007.84

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Solution

The fourth proportional to 3,423.03, 5,109.79 and 3,007.84 is: 4,490.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.03 : 5,109.79 = 3,007.84 : x
  2. Step 2: Convert to fraction form
    3,423.03/5,109.79 = 3,007.84/x
  3. Step 3: Cross multiply
    3,423.03x = 5,109.79 × 3,007.84
  4. Step 4: Simplify right side
    3,423.03x = 15,369,427.36
  5. Step 5: Solve for x
    x = 15,369,427.36/3,423.03
  6. Step 6: Final answer
    x = 4,490.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.