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Finding the Fourth Proportional to 5,459.82, 7,534.62 and 3,101.50

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Solution

The fourth proportional to 5,459.82, 7,534.62 and 3,101.50 is: 4,280.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,459.82 : 7,534.62 = 3,101.50 : x
  2. Step 2: Convert to fraction form
    5,459.82/7,534.62 = 3,101.50/x
  3. Step 3: Cross multiply
    5,459.82x = 7,534.62 × 3,101.50
  4. Step 4: Simplify right side
    5,459.82x = 23,368,633.35
  5. Step 5: Solve for x
    x = 23,368,633.35/5,459.82
  6. Step 6: Final answer
    x = 4,280.11

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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.