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Finding the Fourth Proportional to 3,125.12, 4,687.31 and 933.68

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Solution

The fourth proportional to 3,125.12, 4,687.31 and 933.68 is: 1,400.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,125.12 : 4,687.31 = 933.68 : x
  2. Step 2: Convert to fraction form
    3,125.12/4,687.31 = 933.68/x
  3. Step 3: Cross multiply
    3,125.12x = 4,687.31 × 933.68
  4. Step 4: Simplify right side
    3,125.12x = 4,376,419.50
  5. Step 5: Solve for x
    x = 4,376,419.50/3,125.12
  6. Step 6: Final answer
    x = 1,400.40

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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.