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Finding the Fourth Proportional to 4,872, 7,266.84 and 4,435.68

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Solution

The fourth proportional to 4,872, 7,266.84 and 4,435.68 is: 6,616.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,872 : 7,266.84 = 4,435.68 : x
  2. Step 2: Convert to fraction form
    4,872/7,266.84 = 4,435.68/x
  3. Step 3: Cross multiply
    4,872x = 7,266.84 × 4,435.68
  4. Step 4: Simplify right side
    4,872x = 32,233,376.85
  5. Step 5: Solve for x
    x = 32,233,376.85/4,872
  6. Step 6: Final answer
    x = 6,616.05

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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.