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Finding the Fourth Proportional to 4,444.86, 6,667.40 and 1,523.13

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Solution

The fourth proportional to 4,444.86, 6,667.40 and 1,523.13 is: 2,284.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,444.86 : 6,667.40 = 1,523.13 : x
  2. Step 2: Convert to fraction form
    4,444.86/6,667.40 = 1,523.13/x
  3. Step 3: Cross multiply
    4,444.86x = 6,667.40 × 1,523.13
  4. Step 4: Simplify right side
    4,444.86x = 10,155,316.96
  5. Step 5: Solve for x
    x = 10,155,316.96/4,444.86
  6. Step 6: Final answer
    x = 2,284.73

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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.