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Finding the Fourth Proportional to 5,044.69, 7,568.69 and 1,534.84

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Solution

The fourth proportional to 5,044.69, 7,568.69 and 1,534.84 is: 2,302.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,044.69 : 7,568.69 = 1,534.84 : x
  2. Step 2: Convert to fraction form
    5,044.69/7,568.69 = 1,534.84/x
  3. Step 3: Cross multiply
    5,044.69x = 7,568.69 × 1,534.84
  4. Step 4: Simplify right side
    5,044.69x = 11,616,728.16
  5. Step 5: Solve for x
    x = 11,616,728.16/5,044.69
  6. Step 6: Final answer
    x = 2,302.76

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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.