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Finding the Fourth Proportional to 4,359, 6,541.38 and 2,050.68

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Solution

The fourth proportional to 4,359, 6,541.38 and 2,050.68 is: 3,077.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,359 : 6,541.38 = 2,050.68 : x
  2. Step 2: Convert to fraction form
    4,359/6,541.38 = 2,050.68/x
  3. Step 3: Cross multiply
    4,359x = 6,541.38 × 2,050.68
  4. Step 4: Simplify right side
    4,359x = 13,414,277.14
  5. Step 5: Solve for x
    x = 13,414,277.14/4,359
  6. Step 6: Final answer
    x = 3,077.37

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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.