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Finding the Fourth Proportional to 4,932.75, 7,400.41 and 1,470

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Solution

The fourth proportional to 4,932.75, 7,400.41 and 1,470 is: 2,205.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932.75 : 7,400.41 = 1,470 : x
  2. Step 2: Convert to fraction form
    4,932.75/7,400.41 = 1,470/x
  3. Step 3: Cross multiply
    4,932.75x = 7,400.41 × 1,470
  4. Step 4: Simplify right side
    4,932.75x = 10,878,599.03
  5. Step 5: Solve for x
    x = 10,878,599.03/4,932.75
  6. Step 6: Final answer
    x = 2,205.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.