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Finding the Fourth Proportional to 4,602, 6,903.36 and 1,524

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Solution

The fourth proportional to 4,602, 6,903.36 and 1,524 is: 2,286.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602 : 6,903.36 = 1,524 : x
  2. Step 2: Convert to fraction form
    4,602/6,903.36 = 1,524/x
  3. Step 3: Cross multiply
    4,602x = 6,903.36 × 1,524
  4. Step 4: Simplify right side
    4,602x = 10,520,720.64
  5. Step 5: Solve for x
    x = 10,520,720.64/4,602
  6. Step 6: Final answer
    x = 2,286.12

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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.