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Finding the Fourth Proportional to 5,641.14, 8,444.40 and 5,083.47

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Solution

The fourth proportional to 5,641.14, 8,444.40 and 5,083.47 is: 7,609.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.14 : 8,444.40 = 5,083.47 : x
  2. Step 2: Convert to fraction form
    5,641.14/8,444.40 = 5,083.47/x
  3. Step 3: Cross multiply
    5,641.14x = 8,444.40 × 5,083.47
  4. Step 4: Simplify right side
    5,641.14x = 42,926,854.07
  5. Step 5: Solve for x
    x = 42,926,854.07/5,641.14
  6. Step 6: Final answer
    x = 7,609.61

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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.