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Finding the Fourth Proportional to 3,185.16, 4,774.07 and 1,235.71

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Solution

The fourth proportional to 3,185.16, 4,774.07 and 1,235.71 is: 1,852.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.16 : 4,774.07 = 1,235.71 : x
  2. Step 2: Convert to fraction form
    3,185.16/4,774.07 = 1,235.71/x
  3. Step 3: Cross multiply
    3,185.16x = 4,774.07 × 1,235.71
  4. Step 4: Simplify right side
    3,185.16x = 5,899,359.86
  5. Step 5: Solve for x
    x = 5,899,359.86/3,185.16
  6. Step 6: Final answer
    x = 1,852.14

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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.