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Finding the Fourth Proportional to 3,056.02, 4,575 and 2,279.42

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Solution

The fourth proportional to 3,056.02, 4,575 and 2,279.42 is: 3,412.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,056.02 : 4,575 = 2,279.42 : x
  2. Step 2: Convert to fraction form
    3,056.02/4,575 = 2,279.42/x
  3. Step 3: Cross multiply
    3,056.02x = 4,575 × 2,279.42
  4. Step 4: Simplify right side
    3,056.02x = 10,428,346.50
  5. Step 5: Solve for x
    x = 10,428,346.50/3,056.02
  6. Step 6: Final answer
    x = 3,412.39

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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.