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Finding the Fourth Proportional to 5,460.53, 8,186.54 and 2,538.45

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Solution

The fourth proportional to 5,460.53, 8,186.54 and 2,538.45 is: 3,805.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,460.53 : 8,186.54 = 2,538.45 : x
  2. Step 2: Convert to fraction form
    5,460.53/8,186.54 = 2,538.45/x
  3. Step 3: Cross multiply
    5,460.53x = 8,186.54 × 2,538.45
  4. Step 4: Simplify right side
    5,460.53x = 20,781,109.77
  5. Step 5: Solve for x
    x = 20,781,109.77/5,460.53
  6. Step 6: Final answer
    x = 3,805.70

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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.