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Finding the Fourth Proportional to 4,765.76, 7,142.88 and 2,024

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Solution

The fourth proportional to 4,765.76, 7,142.88 and 2,024 is: 3,033.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765.76 : 7,142.88 = 2,024 : x
  2. Step 2: Convert to fraction form
    4,765.76/7,142.88 = 2,024/x
  3. Step 3: Cross multiply
    4,765.76x = 7,142.88 × 2,024
  4. Step 4: Simplify right side
    4,765.76x = 14,457,189.12
  5. Step 5: Solve for x
    x = 14,457,189.12/4,765.76
  6. Step 6: Final answer
    x = 3,033.55

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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.