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Finding the Fourth Proportional to 3,182.16, 4,775.70 and 3,019.59

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Solution

The fourth proportional to 3,182.16, 4,775.70 and 3,019.59 is: 4,531.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.16 : 4,775.70 = 3,019.59 : x
  2. Step 2: Convert to fraction form
    3,182.16/4,775.70 = 3,019.59/x
  3. Step 3: Cross multiply
    3,182.16x = 4,775.70 × 3,019.59
  4. Step 4: Simplify right side
    3,182.16x = 14,420,655.96
  5. Step 5: Solve for x
    x = 14,420,655.96/3,182.16
  6. Step 6: Final answer
    x = 4,531.72

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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.