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Finding the Fourth Proportional to 3,707.12, 5,560.69 and 933.80

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Solution

The fourth proportional to 3,707.12, 5,560.69 and 933.80 is: 1,400.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,707.12 : 5,560.69 = 933.80 : x
  2. Step 2: Convert to fraction form
    3,707.12/5,560.69 = 933.80/x
  3. Step 3: Cross multiply
    3,707.12x = 5,560.69 × 933.80
  4. Step 4: Simplify right side
    3,707.12x = 5,192,542.18
  5. Step 5: Solve for x
    x = 5,192,542.18/3,707.12
  6. Step 6: Final answer
    x = 1,400.69

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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.