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Finding the Fourth Proportional to 5,492.37, 7,580.01 and 3,134.86

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Solution

The fourth proportional to 5,492.37, 7,580.01 and 3,134.86 is: 4,326.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.37 : 7,580.01 = 3,134.86 : x
  2. Step 2: Convert to fraction form
    5,492.37/7,580.01 = 3,134.86/x
  3. Step 3: Cross multiply
    5,492.37x = 7,580.01 × 3,134.86
  4. Step 4: Simplify right side
    5,492.37x = 23,762,279.62
  5. Step 5: Solve for x
    x = 23,762,279.62/5,492.37
  6. Step 6: Final answer
    x = 4,326.42

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