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Finding the Fourth Proportional to 5,041.14, 7,546.23 and 4,565.94

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Solution

The fourth proportional to 5,041.14, 7,546.23 and 4,565.94 is: 6,834.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,041.14 : 7,546.23 = 4,565.94 : x
  2. Step 2: Convert to fraction form
    5,041.14/7,546.23 = 4,565.94/x
  3. Step 3: Cross multiply
    5,041.14x = 7,546.23 × 4,565.94
  4. Step 4: Simplify right side
    5,041.14x = 34,455,633.41
  5. Step 5: Solve for x
    x = 34,455,633.41/5,041.14
  6. Step 6: Final answer
    x = 6,834.89

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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.