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Finding the Fourth Proportional to 5,460.48, 7,534.50 and 3,102.18

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Solution

The fourth proportional to 5,460.48, 7,534.50 and 3,102.18 is: 4,280.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,460.48 : 7,534.50 = 3,102.18 : x
  2. Step 2: Convert to fraction form
    5,460.48/7,534.50 = 3,102.18/x
  3. Step 3: Cross multiply
    5,460.48x = 7,534.50 × 3,102.18
  4. Step 4: Simplify right side
    5,460.48x = 23,373,375.21
  5. Step 5: Solve for x
    x = 23,373,375.21/5,460.48
  6. Step 6: Final answer
    x = 4,280.46

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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.