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Finding the Fourth Proportional to 5,492.60, 7,579.74 and 3,134.72

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Solution

The fourth proportional to 5,492.60, 7,579.74 and 3,134.72 is: 4,325.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.60 : 7,579.74 = 3,134.72 : x
  2. Step 2: Convert to fraction form
    5,492.60/7,579.74 = 3,134.72/x
  3. Step 3: Cross multiply
    5,492.60x = 7,579.74 × 3,134.72
  4. Step 4: Simplify right side
    5,492.60x = 23,760,362.57
  5. Step 5: Solve for x
    x = 23,760,362.57/5,492.60
  6. Step 6: Final answer
    x = 4,325.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.