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Finding the Fourth Proportional to 5,051.38, 7,576.54 and 1,354

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Solution

The fourth proportional to 5,051.38, 7,576.54 and 1,354 is: 2,030.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,051.38 : 7,576.54 = 1,354 : x
  2. Step 2: Convert to fraction form
    5,051.38/7,576.54 = 1,354/x
  3. Step 3: Cross multiply
    5,051.38x = 7,576.54 × 1,354
  4. Step 4: Simplify right side
    5,051.38x = 10,258,635.16
  5. Step 5: Solve for x
    x = 10,258,635.16/5,051.38
  6. Step 6: Final answer
    x = 2,030.86

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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.