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Finding the Fourth Proportional to 5,076.52, 7,615.06 and 1,568.94

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Solution

The fourth proportional to 5,076.52, 7,615.06 and 1,568.94 is: 2,353.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,076.52 : 7,615.06 = 1,568.94 : x
  2. Step 2: Convert to fraction form
    5,076.52/7,615.06 = 1,568.94/x
  3. Step 3: Cross multiply
    5,076.52x = 7,615.06 × 1,568.94
  4. Step 4: Simplify right side
    5,076.52x = 11,947,572.24
  5. Step 5: Solve for x
    x = 11,947,572.24/5,076.52
  6. Step 6: Final answer
    x = 2,353.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.