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Finding the Fourth Proportional to 5,460.54, 7,533.15 and 3,691.50

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Solution

The fourth proportional to 5,460.54, 7,533.15 and 3,691.50 is: 5,092.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,460.54 : 7,533.15 = 3,691.50 : x
  2. Step 2: Convert to fraction form
    5,460.54/7,533.15 = 3,691.50/x
  3. Step 3: Cross multiply
    5,460.54x = 7,533.15 × 3,691.50
  4. Step 4: Simplify right side
    5,460.54x = 27,808,623.23
  5. Step 5: Solve for x
    x = 27,808,623.23/5,460.54
  6. Step 6: Final answer
    x = 5,092.65

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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.