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Finding the Fourth Proportional to 4,315.38, 6,471.72 and 1,850.10

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Solution

The fourth proportional to 4,315.38, 6,471.72 and 1,850.10 is: 2,774.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,315.38 : 6,471.72 = 1,850.10 : x
  2. Step 2: Convert to fraction form
    4,315.38/6,471.72 = 1,850.10/x
  3. Step 3: Cross multiply
    4,315.38x = 6,471.72 × 1,850.10
  4. Step 4: Simplify right side
    4,315.38x = 11,973,329.17
  5. Step 5: Solve for x
    x = 11,973,329.17/4,315.38
  6. Step 6: Final answer
    x = 2,774.57

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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.