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Finding the Fourth Proportional to 3,153.88, 4,729.32 and 962.02

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Solution

The fourth proportional to 3,153.88, 4,729.32 and 962.02 is: 1,442.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.88 : 4,729.32 = 962.02 : x
  2. Step 2: Convert to fraction form
    3,153.88/4,729.32 = 962.02/x
  3. Step 3: Cross multiply
    3,153.88x = 4,729.32 × 962.02
  4. Step 4: Simplify right side
    3,153.88x = 4,549,700.43
  5. Step 5: Solve for x
    x = 4,549,700.43/3,153.88
  6. Step 6: Final answer
    x = 1,442.57

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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.