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Finding the Fourth Proportional to 5,154.37, 7,731.46 and 4,753.06

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Solution

The fourth proportional to 5,154.37, 7,731.46 and 4,753.06 is: 7,129.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154.37 : 7,731.46 = 4,753.06 : x
  2. Step 2: Convert to fraction form
    5,154.37/7,731.46 = 4,753.06/x
  3. Step 3: Cross multiply
    5,154.37x = 7,731.46 × 4,753.06
  4. Step 4: Simplify right side
    5,154.37x = 36,748,093.27
  5. Step 5: Solve for x
    x = 36,748,093.27/5,154.37
  6. Step 6: Final answer
    x = 7,129.50

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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.