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Finding the Fourth Proportional to 5,095.41, 7,643.13 and 1,397.69

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Solution

The fourth proportional to 5,095.41, 7,643.13 and 1,397.69 is: 2,096.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,095.41 : 7,643.13 = 1,397.69 : x
  2. Step 2: Convert to fraction form
    5,095.41/7,643.13 = 1,397.69/x
  3. Step 3: Cross multiply
    5,095.41x = 7,643.13 × 1,397.69
  4. Step 4: Simplify right side
    5,095.41x = 10,682,719.38
  5. Step 5: Solve for x
    x = 10,682,719.38/5,095.41
  6. Step 6: Final answer
    x = 2,096.54

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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.