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Finding the Fourth Proportional to 4,757.06, 7,135.62 and 1,470.08

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Solution

The fourth proportional to 4,757.06, 7,135.62 and 1,470.08 is: 2,205.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.06 : 7,135.62 = 1,470.08 : x
  2. Step 2: Convert to fraction form
    4,757.06/7,135.62 = 1,470.08/x
  3. Step 3: Cross multiply
    4,757.06x = 7,135.62 × 1,470.08
  4. Step 4: Simplify right side
    4,757.06x = 10,489,932.25
  5. Step 5: Solve for x
    x = 10,489,932.25/4,757.06
  6. Step 6: Final answer
    x = 2,205.13

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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.